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We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Michael D. Hartl , Alessandra Buonanno

Extending a method developed by Sasaki in the Schwarzschild case and by Shibata, Sasaki, Tagoshi, and Tanaka in the Kerr case, we calculate the post-Newtonian expansion of the gravitational wave luminosities from a test particle in circular…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Hideyuki Tagoshi , Masaru Shibata , Takahiro Tanaka , Misao Sasaki

We use the canonical Hamiltonian formalism to generalize to spinning point particles the first law of mechanics established for binary systems of non-spinning point masses moving on circular orbits [Le Tiec, Blanchet, and Whiting, Phys.…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Luc Blanchet , Alessandra Buonanno , Alexandre Le Tiec

The circular motion of spinning massive test particles in the equatorial plane of a rotating black hole is investigated in the case in which the components of the spin tensor are allowed to vary along the orbit.

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico , Robert T. Jantzen

We consider particle collisions in the background of a nonextremal black hole. Two particles fall from infinity, particle 1 is fine-tuned (critical), collision occurs in its turning point. The first example is the Reissner-Nordstr\"{o}m…

General Relativity and Quantum Cosmology · Physics 2020-11-11 O. B. Zaslavskii

The Hawking-Penrose singularity theorem states that a singularity forms inside a black hole in general relativity. To remove this singularity one must resort to a more fundamental theory. Using a corrected dynamical equation arising in loop…

General Relativity and Quantum Cosmology · Physics 2018-01-15 Changjun Gao , Youjun Lu , You-Gen Shen , Valerio Faraoni

Inspirals of stellar mass compact objects into supermassive black holes are known as extreme mass ratio inspirals. In the simplest approximation, the motion of the compact object is modeled as a geodesic in the space-time of the massive…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Ondřej Zelenka , Georgios Lukes-Gerakopoulos , Vojtěch Witzany , Ondřej Kopáček

The radius of the circular orbit for the time-like or light-like test particle in a background of general spherically symmetric spacetime is viewed as a characterized quantity for the thermodynamic phase transition of the corresponding…

High Energy Physics - Theory · Physics 2019-04-03 Ming Zhang , Shan-Zhong Han , Jie Jiang , Wen-Biao Liu

We investigate the dynamics of a charged particle being kicked off from its circular orbit around a regular black hole by an incoming massive particle in the presence of magnetic field. The resulting escape velocity, escape energy and the…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Abdul Jawad , Farhad Ali , Mubasher Jamil , Ujjal Debnath

In this paper, we investigate periodic orbits of test particles around a non-rotating Destounis-Suvorov-Kokkotas black hole and the resulting gravitational waves. Firstly, we examine the properties of circular orbits and find that circular…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Zhutong Hua , Zhen-Tao He , Jiageng Jiao , Jing-Qi Lai , Yu Tian

In this letter, we discuss the extension of Feynman's derivation of the equation of motion to the case of spinning particles. We show that a spinning particle interacts only with the electromagnetic and gravitational fields. In the absence…

High Energy Physics - Theory · Physics 2009-10-22 Chihong Chou

Due to the acceleration of the black hole, the circular orbits of the photons will deviate from the equatorial plane and the property of the black hole shadow will change. We find that the latitude of the circular orbit increases with the…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Ming Zhang , Jie Jiang

The nature of boundedness of orbits of a particle moving in a central force field is investigated. General conditions for circular orbits and their stability are discussed. In a bounded central field orbit, a particle moves clockwise or…

Physics Education · Physics 2007-05-23 Subhankar Ray , J. Shamanna

We examine how cosmological expansion arises in a universe containing a lattice of spinning black holes. We study averaged expansion properties as a function of fundamental properties of the black holes, including the bare mass of the black…

General Relativity and Quantum Cosmology · Physics 2019-09-12 John T. Giblin , James B. Mertens , Glenn D. Starkman , Chi Tian

In this paper we consider rotating modified Hayward and rotating modified Bardeen black holes as particle accelerators. We investigate the center of mass energy of two colliding neutral particles with same rest masses falling from rest at…

General Relativity and Quantum Cosmology · Physics 2019-06-25 Behnam Pourhassan , Ujjal Debnath

We discuss the effects of the black holes' spin-multipole structure in the orbital dynamics of binary black holes according to general relativity, focusing on the leading-post-Newtonian-order couplings at each order in an expansion in the…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Justin Vines , Jan Steinhoff

Orbital eccentricity and spin precession are precious observables to infer the formation history of binary black holes with gravitational-wave data. We present a post-Newtonian, multi-timescale analysis of the binary dynamics able to…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Giulia Fumagalli , Davide Gerosa

We study the effect of light-bending on the signal of a pulsar in binaries with rotating black hole companions, focusing on stellar mass black holes. We show that the impacts of various parameters on the bending delays visually match with…

General Relativity and Quantum Cosmology · Physics 2025-06-09 Jyotijwal Debnath , Manjari Bagchi

In this paper we consider the collision of spinning holes using first order perturbation theory of black holes (Teukolsky formalism). With these results (along with ones, we published in the past) one can predict the properties of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gaurav Khanna

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nils Siemonsen , Justin Vines