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Gravitational-wave observations of quasicircular compact binary mergers imply complicated posterior measurements of their parameters. Though Gaussian approximations to the pertinent likelihoods have decades of history in the field, the…

Instrumentation and Methods for Astrophysics · Physics 2022-12-08 Vera Delfavero , Richard O'Shaughnessy , Daniel Wysocki , Anjali Yelikar

Solving the 4-d Einstein equations as evolution in time requires solving equations of two types: the four elliptic initial data (constraint) equations, followed by the six second order evolution equations. Analytically the constraint…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Richard A. Matzner

We explore the constraints on dark sector models imposed by the recent observation of coincident gravitational waves and gamma rays from a binary neutron star merger, GW170817. Rather than focusing on specific models as has been considered…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-26 Richard A. Battye , Francesco Pace , Damien Trinh

The gravitational waves (GWs) has been a topic of interest for its versatile capabilities of probing several aspects of cosmology and early Universe. Gravitational lensing enhances further the extent of this sort of waves and upgrade our…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Ashadul Halder , Shibaji Banerjee , Debasish Majumdar

This paper discusses the effects of gravitational waves on high-accuracy astrometric observations such as those delivered by Gaia. Depending on the frequency of gravitational waves, two regimes for the influence of gravitational waves on…

High Energy Astrophysical Phenomena · Physics 2018-02-14 Sergei A. Klioner

This revision includes clarified exposition and simplified analysis. Solutions of the Einstein equations which are periodic and have standing gravitational waves are valuable approximations to more physically realistic solutions with…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler

Gravitational waves travel through the distributions of matter and dark energy during propagation. For this reason, gravitational waves emitted from binary compact objects serve as a useful tool especially to probe the nature of dark…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Kei-ichiro Kubota , Shun Arai , Shinji Mukohyama

The cosmological background of gravitational waves can be tuned by the higher-order corrections to the gravitational Lagrangian. In particular, it can be shown that assuming $R^{1+\epsilon}$, where $\epsilon$ indicates a generic (eventually…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Capozziello , M. De Laurentis , M. Francaviglia

There is significant benefit to be gained by pursuing multi-messenger astronomy with gravitational wave and electromagnetic observations. In order to undertake electromagnetic follow-ups of gravitational wave signals, it will be necessary…

General Relativity and Quantum Cosmology · Physics 2011-07-06 Stephen Fairhurst

The observation of gravitational waves has opened a new window into the Universe through gravitational-wave astronomy. However, high-frequency gravitational waves remain undetected. In this work, we propose that spin systems can be employed…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Jiamin Liang , Mingqiu Li , Yu Gao , Wei Ji , Sichun Sun , Qi-Shu Yan

The direct detection of gravitational waves crowns decades of efforts in the modelling of sources and of increasing detectors' sensitivity. With future third-generation Earth-based detectors or space-based observatories, gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Lorenzo Annulli , Laura Bernard , Diego Blas , Vitor Cardoso

This thesis explores parameter estimation methods for rapidly reconstructing compact binary sources generating gravitational waves. It employs numerical linear algebra and meshfree approximation techniques to expedite waveform generation…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Lalit Pathak

The method of geodesic deviations has been applied to derive accurate analytic approximations to geodesics in Schwarzschild space-time. The results are used to construct analytic expressions for the source terms in the Regge-Wheeler and…

General Relativity and Quantum Cosmology · Physics 2015-11-26 G. Koekoek , J. W. van Holten

The observation of GW150914 indicated a new independent measurement of the luminosity distance of a gravitational wave event. In this paper, we constrain the anisotropy of the Universe by using gravitational wave events. We simulate…

General Relativity and Quantum Cosmology · Physics 2019-08-19 Zhi-Chao Zhao , Hai-Nan Lin , Zhe Chang

In this paper we study gravitational wave perturbations in a cosmological setting of bigravity which can reproduce the {\Lambda}CDM background and large scale structure. We show that in general gravitational wave perturbations are unstable…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Giulia Cusin , Ruth Durrer , Pietro Guarato , Mariele Motta

We investigate the production of gravitational waves during the inspiral of compact binaries close to their merger in the context of a conformal gravity model. The model incorporates five massive polarization degrees of freedom, besides the…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Patric Hölscher , Dominik J. Schwarz

Models of gravitational waveforms from coalescing black-hole binaries play a crucial role in the efforts to detect and interpret the signatures of those binaries in the data of large-scale interferometers. Here we summarize recent models…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Frank Ohme

It is expected that gravitational waves, similar to electromagnetic waves, can be gravitationally lensed by intervening matters, producing multiple instances of the same signal arriving at different times from different apparent luminosity…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Rico K. L. Lo , Ignacio Magana Hernandez

We derive a relation between the two polarization modes of a plane, linear gravitational wave in the second-order approximation. Since these two polarizations are not independent, an initially monochromatic gravitational wave loses its…

General Relativity and Quantum Cosmology · Physics 2011-10-05 Nikodem J. Poplawski

Gravitational-wave (GW) observations of compact binaries have the potential to unlock several remarkable applications in astrophysics, cosmology, and nuclear physics through accurate measurements of the source luminosity distance and…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Adriano Frattale Mascioli , Francesco Crescimbeni , Costantino Pacilio , Paolo Pani , Francesco Pannarale