每周搜集 arXiv 上 Astrophysics(天體物理) 和 General Relativity(廣義相對論)部分與 Gravitational Wave(引力波)相關的文章,方便快速了解學術前言動態。
Astrophysics
General Relativity
[13/26] 標題:探測黑洞度規:黑洞陰影和雙黑洞旋近Title: Probing the Black Hole Metric. I. Black Hole Shadows and Binary Black-Hole Inspirals Authors: Dimitrios Psaltis, Colm Talbot, Ethan Payne, Ilya Mandel https://arxiv.org/abs/2012.02117 Abstract: In General Relativity, the spacetimes of black holes have three fundamental properties: (i) they are the same, to lowest order in spin, as the metrics of stellar objects; (ii) they are independent of mass, when expressed in geometric units; and (iii) they are described by the Kerr metric. In this paper, we quantify the upper bounds on potential black-hole metric deviations imposed by observations of black-hole shadows and of binary black-hole inspirals in order to explore the current experimental limits on possible violations of the last two predictions. We find that both types of experiments provide correlated constraints on deviation parameters that are primarily in the tt-components of the spacetimes, when expressed in areal coordinates. We conclude that, currently, there is no evidence for a deviations from the Kerr metric across the 8 orders of magnitudes in masses and 16 orders in curvatures spanned by the two types of black holes. Moreover, because of the particular masses of black holes in the current sample of gravitational-wave sources, the correlations imposed by the two experiments are aligned and of similar magnitudes when expressed in terms of the far field, post-Newtonian predictions of the metrics. If a future coalescing black-hole binary with two low-mass (e.g., ~3 Msun) components is discovered, the degeneracy between the deviation parameters can be broken by combining the inspiral constraints with those from the black-hole shadow measurements. [14/26] 標題:緻密雙星旋近引力波的後牛頓模板 Title: Post-Newtonian templates for gravitational waves from compact binary inspirals Authors: Soichiro Isoyama, Riccardo Sturani, Hiroyuki Nakano https://arxiv.org/abs/2012.01350 Abstract: To enable detection and maximise the physics output of gravitational wave observations from compact binary systems, it is crucial the availability of accurate waveform models. The present work aims at giving an overview for non-experts of the (inspiral) waveforms used in the gravitational wave data analysis for compact binary coalescence. We first provide the essential elements of gravitational radiation physics within a simple Newtonian orbital dynamics and the linearized gravity theory, describing the adiabatic approximation applied to binary systems: the key element to construct the theoretical gravitational waveforms in practice. We next lay out the gravitational waveforms in the post-Newtonian approximation to General Relativity, and highlight the basic input for the inspiral waveform of the slowly evolving, spinning, nonprecessing, quasicircular binary black holes, namely, post-Newtonian energy, fluxes and the (absorption-corrected) balance equation. The post-Newtonian inspiral templates are then presented both in the time and frequency domain. Finally, including the merger and subsequent ringdown phase, we briefly survey the two families of the full waveform models of compact binary mergers currently implemented in LSC Algorithm Library Simulation: the effective-one-body approach and the phenomenological frequency domain model. [15/26] 標題:通過機器學習快速,靈活,準確地評估Malmquist偏差:為即將到來的引力波探測做準備 Title: Fast, flexible, and accurate evaluation of Malmquist bias with machine learning: Preparing for the pending flood of gravitational-wave detections Authors: Colm Talbot, Eric Thrane https://arxiv.org/abs/2012.01317 Abstract: Many astronomical surveys are limited by the brightness of the sources, and gravitational-wave searches are no exception. The detectability of gravitational waves from merging binaries is affected by the mass and spin of the constituent compact objects. To perform unbiased inference on the distribution of compact binaries, it is necessary to account for this selection effect, which is known as Malmquist bias. Since systematic error from selection effects grows with the number of events, it will be increasingly important over the coming years to accurately estimate the observational selection function for gravitational-wave astronomy. We employ a range of machine learning methods to accurately and efficiently compute the compact binary coalescence selection function. We introduce a simple pre-processing method, which significantly reduces the complexity of the required machine learning models. As a demonstration of our method, we reproduce and extend the results from the recent LIGO--Virgo analysis of events from their second gravitational-wave transient catalog (GWTC-2). While qualitatively consistent with previous work, we find that the method used to compute the selection function noticeably affects the inferred population. The most significant change is a 1\sigma increase in the steepness of the mass ratio distribution and an \sim10% increase in the inferred rate, {R}_{BBH} = 32^{+11}_{-9}{Gpc}^{-3}{yr}^{-1}, when using our new method. Including spin effects in the selection function does not significantly impact the results with current uncertainties. [16/26] 標題:空間引力波天文臺參數估計的準確性 Title: Accuracy of estimation of parameters with space-borne gravitational wave observatory Authors: Chao Zhang, Yungui Gong, Bin Wang, Chunyu Zhang https://arxiv.org/abs/2012.01043 Abstract: Employing the Fisher information matrix approximation, we estimate the errors of parameters with TianQin and LISA for monochromatic gravitational waves. With the long-wavelength approximation we give analytical formulas for the parameter estimation errors. We analyze the amplitude modulation due to the changing orientation of the detector plane and the Doppler effect due to the translational motion of the center of the detector around the Sun. We disclose that in the low frequency regimes there exist different patterns in angular resolutions and estimation errors of the signal's parameters between LISA and TianQin. The angular resolutions and the estimation errors of the signal's parameters fall off as S_n(f)/f^2 for TianQin but S_n(f) for LISA. However in the medium frequency regimes we observe the same patterns where the angular resolutions fall off as S_n(f)/f^2 and the estimation errors of the signal's parameters fall off as S_n(f) for both TianQin and LISA. In the high frequency regimes, the long-wavelength approximation fails, we numerically calculate the parameter estimation errors for LISA and TianQin and find that the parameter estimation errors measured by TianQin are better than those by LISA. [17/26] 標題:根據核心坍縮超新星的引力波數據推斷原中子星的性質 Title: Inference of proto-neutron star properties from gravitational-wave data in core-collapse supernovae Authors: Marie-Anne Bizouard, Patricio Maturana-Russel et al.https://arxiv.org/abs/2012.00846 Abstract: The eventual detection of gravitational waves from core-collapse supernovae (CCSN) will help improve our current understanding of the explosion mechanism of massive stars. The stochastic nature of the late post-bounce gravitational wave signal due to the non-linear dynamics of the matter involved and the large number of degrees of freedom of the phenomenon make the source parameter inference problem very challenging. In this paper we take a step towards that goal and present a parameter estimation approach which is based on the gravitational waves associated with oscillations of proto-neutron stars (PNS). Numerical simulations of CCSN have shown that buoyancy-driven g-modes are responsible for a significant fraction of the gravitational wave signal and their time-frequency evolution is linked to the physical properties of the compact remnant through universal relations, as demonstrated in [1]. We use a set of 1D CCSN simulations to build a model that relates the evolution of the PNS properties with the frequency of the dominant g-mode, which is extracted from the gravitational-wave data using a new algorithm we have developed for our study. The model is used to infer the time evolution of a combination of the mass and the radius of the PNS. The performance of the method is estimated employing simulations of 2D CCSN waveforms covering a progenitor mass range between 11 and 40 solar masses and different equations of state. Considering signals embedded in Gaussian gravitational wave detector noise, we show that it is possible to infer PNS properties for a galactic source using Advanced LIGO and Advanced Virgo data at design sensitivities. Third generation detectors such as Einstein Telescope and Cosmic Explorer will allow to test distances of O(100 kpc). Title: Stochastic gravitational-wave background in quantum gravity Authors: Gianluca Calcagni, Sachiko Kuroyanagi https://arxiv.org/abs/2012.00170 Abstract: Among all cosmological quantum-gravity or quantum-gravity-inspired scenarios, only very few predict a blue-tilted primordial tensor spectrum. We explore five of them and check whether they can generate a stochastic gravitational-wave background detectable by present and future interferometers: non-local quantum gravity, string-gas cosmology, new ekpyrotic scenario, Brandenberger-Ho non-commutative inflation and multi-fractional spacetimes. We show that non-local quantum gravity is unobservable, while all the other models can reach the strain sensitivity of DECIGO but not that of LIGO-Virgo-KAGRA, LISA or Einstein Telescope. Other quantum-gravity models with red-tilted spectra (most loop quantum cosmologies) or with exceptionally tiny quantum corrections (Wheeler-DeWitt quantum cosmology) are found to be non-detectable.[19/26] 標題:緻密雙星併合的快速可靠頻域有效單體波形 Title: Fast, faithful, frequency-domain effective-one-body waveforms for compact binary coalescences Authors: Rossella Gamba, Sebastiano Bernuzzi, Alessandro Nagar https://arxiv.org/abs/2012.00027 Abstract: The inference of binary neutron star properties from gravitational-wave observations requires the generation of millions of waveforms, each one spanning about three order of magnitudes in frequency range. Thus, waveform models must be efficiently generated and, at the same time, be faithful from the post-Newtonian quasi-adiabatic inspiral up to the merger regime. A simple solution to this problem is to combine effective-one-body waveforms with the stationary phase approximation to obtain frequency-domain multipolar approximants valid from any low frequency to merger. We demonstrate that effective-one-body frequency-domain waveforms generated in post-adiabatic approximation are computationally competitive with current phenomenological and surrogate models, (virtually) arbitrarily long, and faithful up to merger for any binary parameter. The same method can also be used to efficiently generate intermediate mass binary black hole inspiral waveforms detectable by space-based interferometers. [20/26] 標題:高新LIGO第一次觀測運行中參數估計的可靠性 Title: On the reliability of parameter estimates in the first observing run of Advanced LIGO Authors: Suman Kulkarni, Collin D. Capano https://arxiv.org/abs/2011.13764 Abstract: Accurate parameter estimation is key to maximizing the scientific impact of gravitational-wave astronomy. Parameters of a binary merger are typically estimated using Bayesian inference. It is necessary to make several assumptions when doing so, one of which is that the the detectors output stationary Gaussian noise. We test the validity of these assumptions by performing percentile-percentile tests in both simulated Gaussian noise and real detector data in the first observing run of Advanced LIGO (O1). We add simulated signals to 512s of data centered on each of the three events detected in O1 -- GW150914, GW151012, and GW151226 -- and check that the recovered credible intervals match statistical expectations. We find that we are able to recover unbiased parameter estimates in the real detector data, indicating that the assumption of Gaussian noise does not adversely effect parameter estimates. However, we also find that both the parallel-tempered emcee sampler emcee_pt and the nested sampler dynesty struggle to produced unbiased parameter estimates for GW151226-like signals, even in simulated Gaussian noise. The emcee_pt sampler does produce unbiased estimates for GW150914-like signals. This highlights the importance of performing percentile-percentile tests in different targeted areas of parameter space. [21/26] 標題:用Parkes脈衝星計時陣列搜索來自宇宙弦尖的引力波暴Title: Searching for gravitational wave bursts from cosmic string cusps with the Parkes Pulsar Timing Array Authors: N. Yonemaru, S. Kuroyanagi et al.https://arxiv.org/abs/2011.13490 Abstract: Cosmic strings are potential gravitational wave (GW) sources that can be probed by pulsar timing arrays (PTAs). In this work we develop a detection algorithm for a GW burst from a cusp on a cosmic string, and apply it to Parkes PTA data. We find four events with a false alarm probability less than 1%. However further investigation shows that all of these are likely to be spurious. As there are no convincing detections we place upper limits on the GW amplitude for different event durations. From these bounds we place limits on the cosmic string tension of G mu ~ 10^{-5}, and highlight that this bound is independent from those obtained using other techniques. We discuss the physical implications of our results and the prospect of probing cosmic strings in the era of Square Kilometre Array (SKA). [22/26] 標題:脈衝星計時陣列搜索引力波的重疊約化函數的解析級數展開 Title: Analytic series expansion of the overlap reduction function for gravitational wave search with pulsar timing arrays Authors: Adrian Boîtier, Shubhanshu Tiwari, Philippe Jetzer https://arxiv.org/abs/2011.13405 Abstract: In our previous paper {PTA1} we derived a generic expression for the pulse redshift the main observable for the Pulsar Timing Array (PTA) experiment for detection of gravitational waves for all possible polarizations induced by modifications of general relativity (GR). In this work we provide a generic expression of the overlap reduction function for PTA without using the short wavelength approximation for tensorial polarization. We are convinced, that the short wavelength approximation is not applicable to the overlap reduction function for PTA's, since the removal of the exponential terms in the integrand would lead to poles for x, y and l polarizations and discontinuities for + and \times. In this work we provide a series expansion to calculate the integral exactly and investigate the behaviour of the series for short wavelength values via numerical evaluation of the analytical series. We find a disagreement for the limit of co-located pulsars with the Hellings & Downs curve. [23/26] 標題:在mHz頻帶內關聯多個三角探測器來搜索引力波背景 Title: Gravitational Wave Background Search by Correlating Multiple Triangular Detectors in the mHz Band https://arxiv.org/abs/2010.06877 Abstract: With the recent strong developments of TianQin and Taiji, we now have an increasing chance to make a correlation analysis in the mHz band by operating them together with LISA. Assuming two LISA-like triangular detectors at general geometrical configurations, we develop a simple formulation to evaluate the network sensitivity to an isotropic gravitational wave background. In our formulation, we fully use the symmetry of data channels within each triangular detector and provide tractable expressions without directly employing cumbersome detector tensors. We concretely evaluate the expected network sensitivities for various potential detector combinations, including the LISA-TianQin pair.[24/26] 標題:頻率論與貝葉斯分析:互相關是LIGO-Virgo隨機背景搜索的(近似)充分統計量 Title: Frequentist versus Bayesian analyses: Cross-correlation as an (approximate) sufficient statistic for LIGO-Virgo stochastic background searches Authors: Andrew Matas, Joseph D. Romano https://arxiv.org/abs/2012.00907 Abstract: Sufficient statistics are combinations of data in terms of which the likelihood function can be rewritten without loss of information. Depending on the data volume reduction, the use of sufficient statistics as a preliminary step in a Bayesian analysis can lead to significant increases in efficiency when sampling from posterior distributions of model parameters. Here we show that the frequency integrand of the cross-correlation statistic and its variance are approximate sufficient statistics for ground-based searches for stochastic gravitational-wave backgrounds. The sufficient statistics are approximate because one works in the weak-signal approximation and uses measured estimates of the auto-correlated power in each detector. Using analytic and numerical calculations, we prove that LIGO-Virgo's hybrid frequentist-Bayesian parameter estimation analysis is equivalent to a fully Bayesian analysis. This work closes a gap in the LIGO-Virgo literature, and suggests directions for additional searches. [25/26] 標題:通過引力波發射對擴展引力模型的約束 Title: Constraints on extended gravity models through gravitational wave emission Authors: Gaetano Lambiase, Mairi Sakellariadou, Antonio Stabile https://arxiv.org/abs/2012.00114 Abstract: Using recent experimental results of detection of gravitational waves from the binary black hole signals by Advanced LIGO and Advanced Virgo, we investigate the propagation of gravitational waves in the context of fourth order gravity nonminimally coupled to a massive scalar field. In particular, we impose constraints on the free parameters of extended gravity models from the current observational data.[26/26] 標題:帶有電荷和磁荷的雙黑洞的引力和電磁輻射:圓錐體上的橢圓軌道 Title: Gravitational and electromagnetic radiation from binary black holes with electric and magnetic charges: Elliptical orbits on a cone Authors: Lang Liu, Øyvind Christiansen et al.https://arxiv.org/abs/2011.13586 Abstract: By using a Newtonian method with radiation reactions, we calculate the total emission rate of energy and angular momentum due to gravitational and electromagnetic radiation from binary black holes with electric and magnetic charges for precessing elliptical orbits. It is shown that the emission rates of energy and angular momentum due to gravitational radiation and electromagnetic radiation have the same dependence on the conic angle for different orbits. Moreover, we obtain the evolutions of orbits. We find that a circular orbit remains circular and an elliptic orbit becomes quasi-circular due to electromagnetic and gravitational radiation.長按下方圖片關注「引力天文」查看更多歷史文章