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We extend the work of Oppenheimer & Synder to model the gravitational collapse of a star to a black hole by including quantum mechanical effects. We first derive closed-form solutions for classical paths followed by a particle on the…

General Relativity and Quantum Cosmology · Physics 2016-11-14 Jayashree Balakrishna , Ruxandra Bondarescu , Christine Corbett Moran

Through detection by low gravitational wave space interferometers, the capture of stars by supermassive black holes will constitute a giant step forward in the understanding of gravitation in strong field. The impact of the perturbations on…

General Relativity and Quantum Cosmology · Physics 2009-10-01 A. Spallicci , S. Aoudia

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

We compute here the spin-orbit and spin-spin couplings needed for an accurate computation of the phasing of gravitational waves emitted by comparable-mass binaries on eccentric orbits at the second post-Newtonian (PN) order. We use a…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Antoine Klein , Philippe Jetzer

We derive spin-orbit coupling effects on the gravitational field and equations of motion of compact binaries in the 2.5 post-Newtonian approximation to general relativity, one PN order beyond where spin effects first appear. Our method is…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Hideyuki Tagoshi , Akira Ohashi , Benjamin J. Owen

A significant number of stellar-mass black-hole (BH) binaries may merge in galactic nuclei or in the surrounding gas disks. With purposed space-borne gravitational-wave observatories, we may use such a binary as a signal carrier to probe…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Hang Yu , Yanbei Chen

We study the circular motion of massive and massless particles in a recently proposed quantum-corrected Schwarzschild black hole in loop quantum gravity. This solution is supposed to introduce small but non-zero quantum corrections in the…

General Relativity and Quantum Cosmology · Physics 2023-12-20 Reza Saadati , Fatimah Shojai

Spin-induced quadrupole moments provide an important characterization of compact objects, such as black holes, neutron stars and black hole mimickers inspired by additional fields and/or modified theories of gravity. Black holes in general…

General Relativity and Quantum Cosmology · Physics 2024-03-29 Zhenwei Lyu , Michael LaHaye , Huan Yang , Béatrice Bonga

We revisit the problem of computing the self-force on a scalar charge moving along an eccentric geodesic orbit around a Schwarzschild black hole. This work extends previous scalar self-force calculations for circular orbits, which were…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Ian Vega , Barry Wardell , Peter Diener , Samuel Cupp , Roland Haas

We investigate the properties of the Schwarzschild black hole geometry involving leading one-loop long-distance quantum effects, which arise within the framework of effective field theories of gravity. Our analysis reveals that geodesic…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Zi-Liang Wang , Emmanuele Battista

The prediction of the spin of the black hole resulting from the merger of a generic black-hole binary system is of great importance to study the cosmological evolution of supermassive black holes. Several attempts have been recently made to…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Enrico Barausse

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasi-circular, we…

General Relativity and Quantum Cosmology · Physics 2013-03-19 Alessandra Buonanno , Guillaume Faye , Tanja Hinderer

We investigate the spin dynamics of a millisecond pulsar (MSP) in compact orbit around a Kerr-like massive black hole with an general mass quadrupole. We use the Mathisson-Papetrou-Dixon formulation to compute the orbital and spin evolution…

High Energy Astrophysical Phenomena · Physics 2020-09-02 Tom Kimpson , Kinwah Wu , Silvia Zane

We analytically compute, through the eight-and-a-half post-Newtonian order and the fourth-order in spin, the gravitational self-force correction to Detweiler's gauge invariant redshift function for a small mass in circular orbit around a…

General Relativity and Quantum Cosmology · Physics 2016-05-09 Donato Bini , Thibault Damour , Andrea Geralico

We investigate the dynamics of spinning test particles in the vicinity of Einstein--geometric Proca (EGP) Anti-de Sitter (AdS) compact objects, which arise from metric-Palatini gravity extended by the antisymmetric part of the affine…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Gulzoda Rakhimova , Beyhan Puliçe , Elham Ghorani , Farruh Atamurotov , Ahmadjon Abdujabbarov

Parity violation in the gravitational interaction has an important impact on fundamental observables and the evolution of the universe. We here investigate for the first time our ability to probe the parity violating nature of the…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Nicholas Loutrel , Takahiro Tanaka , Nicolas Yunes

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Donato Bini , Andrea Geralico

We study the dynamics and relativistic precessions of massive particles on spherical orbits around Kerr-MOG black holes in scalar-tensor-vector gravity (STVG). By employing the Hamilton-Jacobi formalism, we derive conserved quantities and…

General Relativity and Quantum Cosmology · Physics 2025-07-18 Hui-Min Wang

Much of the success of gravitational-wave astronomy rests on perturbation theory. Historically, perturbative analysis of gravitational-wave sources has largely focused on post-Newtonian theory. However, strong-field perturbation theory is…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Adam Pound , Barry Wardell

In the present work, our main objective is to investigate the orbits of spinning test particles around a Schwarzschild black hole under the influence of a quintessence matter field (SQBH). We begin with the dynamics of the spinning test…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Shobhit Giri , Pankaj Sheoran , Hemwati Nandan , Sanjar Shaymatov
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