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We derive the gravitational field and equations of motion of compact binary systems up to the 5/2 post-Newtonian approximation of general relativity (where radiation-reaction effects first appear). The approximate post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luc Blanchet , Guillaume Faye , Bénédicte Ponsot

Short-period binary star systems dissipate orbital energy through tidal interactions that lead to tighter, more circular orbits. When at least one star in a binary has evolved off of the main sequence, orbital circularization occurs for…

Solar and Stellar Astrophysics · Physics 2018-10-31 Adrian M. Price-Whelan , Jeremy Goodman

The orbits of binary stars precess as a result of general relativistic effects, forces arising from the asphericity of the stars, and forces from additional stars or planets in the system. For most binaries, the theoretical and observed…

Solar and Stellar Astrophysics · Physics 2015-05-14 Simon Albrecht , Sabine Reffert , Ignas A. G. Snellen , Joshua N. Winn

It is introduced inertial anti-gravitational potential into the theory of gravity to stop gravitational collapse at the nuclear density and thus prevent singularities. It is considered effective gravity which includes Newtonian potential…

General Physics · Physics 2007-11-01 D. L. Khokhlov

Neutron stars in binary orbit emit gravitational waves and spiral slowly together. During this inspiral, they are expected to have very little vorticity. It is in fact a good approximation to treat the system as having zero vorticity, i.e.,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Saul A. Teukolsky

The general relativistic effects to the anomalous magnetic moment of muons moving in the Earth's gravitational field have been examined. The Dirac equation generalized to include the general relativity suggests the magnetic moment of…

High Energy Physics - Phenomenology · Physics 2018-08-06 Takahiro Morishima , Toshifumi Futamase , Hirohiko M. Shimizu

Many gravitational wave (GW) sources in the LISA band are expected to have non-negligible eccentricity. Furthermore, many of them can undergo acceleration because they reside in the presence of a tertiary. Here we develop analytical and…

High Energy Astrophysical Phenomena · Physics 2023-02-22 Zeyuan Xuan , Smadar Naoz , Xian Chen

The gravitational wave observations GW150914 and GW151226 by Advanced LIGO provide the first opportunity to learn about physics in the extreme gravity environment of coalescing binary black holes. The LIGO Scientific Collaboration and the…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Nicolas Yunes , Kent Yagi , Frans Pretorius

Light escaping from a gravitational potential suffers a redshift with magnitude proportional to the depth of the potential. This "gravitational redshift" is easily measurable in dense stars such as white dwarfs, but is much weaker and has…

Solar and Stellar Astrophysics · Physics 2022-06-23 Kareem El-Badry

In the presence of boundaries, the quantum anomalies acquire additional boundary terms. In odd dimensions the integrated conformal anomaly, for which the bulk contribution is known to be absent, is non-trivial due to the boundary terms.…

High Energy Physics - Theory · Physics 2023-09-21 Amin Faraji Astaneh , Sergey N. Solodukhin

We aim to measure very precise and accurate model-independent masses and distances of detached binary stars. Precise masses at the $< 1$% level are necessary to test and calibrate stellar interior and evolution models, while precise and…

Solar and Stellar Astrophysics · Physics 2023-04-12 A. Gallenne , A. Mérand , P. Kervella , D. Graczyk , G. Pietrzyński , W. Gieren , B. Pilecki

In this article, we focus on the effects of mass transfer between binary stars and stellar spin on the post-Newtonian (PN) orbital evolution and gravitational waveforms of compact binary systems. We employ the 2.5PN approximation and the…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Yifan He , Jie Yang

The recently reported gravitational wave events GW$150914$ and GW$151226$ caused by the mergers of binary black holes [arXiv:1602.03841],[arXiv:1606.04855],[arXiv:1606.04856] provide a formidable way to set constraints on alternative metric…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Mariafelicia De Laurentis , Oliver Porth , Luke Bovard , Bobomurat Ahmedov , Ahmadjon Abdujabbarov

The dynamical mass of galaxies and the Newtonian acceleration generated from the baryons have been found to be strongly correlated. This correlation is known as 'Mass-Discrepancy Acceleration Relation' (MDAR). Further investigations have…

Astrophysics of Galaxies · Physics 2020-05-07 Tousif Islam , Koushik Dutta

Reconstruction of the local velocity field from the overdensity field and a gravitational acceleration that falls off from a point mass as r^-2 yields velocities in broad agreement with peculiar velocities measured with galaxy distance…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-11 Jeremy Mould , Matthew Colless , Pirin Erdogdu , Heath Jones , John Lucey , Yin-Zhe Ma , Christina Magoulas , Christopher M Springob

The low-redshift velocity field is a unique probe of the growth of cosmic structure and gravity. We propose to use distances from gravitational wave (GW) detections, in conjunction with the redshifts of their host galaxies from wide field…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-12 Antonella Palmese , Alex G. Kim

A new class of Kuiper belt objects that lie beyond Neptune with semimajor axes greater than 250 astronomical units show orbital anomalies that have been interpreted as evidence for an undiscovered ninth planet. We show that a modified…

General Relativity and Quantum Cosmology · Physics 2023-08-25 Katherine Jones-Smith , Harsh Mathur

The recent gravitational wave observations provide insight into the extreme gravity regime of coalescing binaries, where gravity is strong, dynamical and non-linear. The interpretation of these observations relies on the comparison of the…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Alexander Saffer , Nicolas Yunes

We extend the effective field theory (EFT) formalism for gravitational radiation from a binary system of compact objects to the case of extended objects. In particular, we study the EFT for a binary system consisting of two infinitely-long…

High Energy Physics - Theory · Physics 2021-08-25 Mariana Carrillo Gonzalez , Qiuyue Liang , Mark Trodden

A major puzzle concerning the wide stellar binaries (semimajor axes $a\gtrsim 10^3$\,AU) in the Solar neighborhood is the origin of their observed superthermal eccentricity distribution function (DF), which is well-approximated by…

Astrophysics of Galaxies · Physics 2023-07-31 Shaunak Modak , Chris Hamilton