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We consider a metric-affine formulation of Chern-Simons modified gravity in 2 + 1 dimensions. The theory is built requiring projective invariance, and the structure of the equations is analyzed using a decomposition in terms of scalar,…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Flavio Bombacigno , Gonzalo J. Olmo , Emanuele Orazi , Paulo J. Porfírio

The gravitational-wave signals emitted by Extreme-Mass-Ratio Inspirals will be hidden in the instrumental LISA noise and the foreground noise produced by galactic binaries in the LISA band. Then, we need accurate gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2010-10-01 Priscilla Canizares , Carlos F. Sopuerta

The force-free limit of magnetohydrodynamics (MHD) is often a reasonable approximation to model black hole and neutron star magnetospheres. We describe a general relativistic force-free (GRFFE) formulation that allows general relativistic…

Astrophysics · Physics 2009-11-11 Jonathan C. McKinney

We develop a numerical code to compute gravitational waves induced by a particle moving on eccentric inclined orbits around a Kerr black hole. For such systems, the black hole perturbation method is applicable. The gravitational waves can…

General Relativity and Quantum Cosmology · Physics 2009-08-05 Ryuichi Fujita , Wataru Hikida , Hideyuki Tagoshi

In a number of problems in computational physics, a finite sum of kernel functions centered at $N$ particle locations located in a box in three dimensions must be extended by imposing periodic boundary conditions on box boundaries. Even…

Computational Physics · Physics 2015-06-17 Nail A. Gumerov , Ramani Duraiswami

This is the first of two papers on computing the self-force in a radiation gauge for a particle moving in circular, equatorial orbit about a Kerr black hole. In the EMRI (extreme-mass-ratio inspiral) framework, with mode-sum…

General Relativity and Quantum Cosmology · Physics 2013-09-17 Abhay G. Shah , John L. Friedman , Tobias S. Keidl

The ``close limit,'' a method based on perturbations of Schwarzschild spacetime, has proved to be a very useful tool for finding approximate solutions to models of black hole collisions. Calculations carried out with second order…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Garat , R. H. Price

Gravitational collapse into a black hole has been extensively studied with classical sources. We develop a new formalism to simulate quantum fields forming a black hole. By choosing a convenient coherent state, this formalism taps into…

High Energy Physics - Theory · Physics 2022-03-09 Benjamin Berczi , Paul M. Saffin , Shuang-Yong Zhou

Using the 1+3 formulation of stationary spacetimes we show, in the context of gravoelectromagnetism, that the plane of the polarization of light rays passing close to a black hole undergoes a rotation. We show that this rotation has the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Mohammad Nouri-Zonoz

We describe three approaches for computing a gravity signal from a density anomaly. The first approach consists of the classical "summation" technique, whilst the remaining two methods solve the Poisson problem for the gravitational…

Computational Engineering, Finance, and Science · Computer Science 2015-05-30 Dave A. May , Matthew G. Knepley

We generalize to Kerr spacetime previous gravitational self-force results on gyroscope precession along circular orbits in the Schwarzschild spacetime. In particular we present high order post- Newtonian expansions for the gauge invariant…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Donato Bini , Thibault Damour , Andrea Geralico , Chris Kavanagh , Maarten van de Meent

A point particle of mass $\mu$ moving on a geodesic creates a perturbation $h_{ab}$, of the spacetime metric $g_{ab}$, that diverges at the particle. Simple expressions are given for the singular $\mu/r$ part of $h_{ab}$ and its distortion…

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

In this paper we suggest an approach to analyse the motion of a test particle in the spacetime of a global monopole within a $f(R)$-like modified gravity. The field equations are written in a more simplified form in terms of…

General Relativity and Quantum Cosmology · Physics 2012-09-19 T. R. P. Caramês , E. R. Bezerra de Mello , M. E. X. Guimarães

A quantum-corrected black hole model arising from gravitational collapse in the framework of Asymptotically Safe Gravity was recently proposed in [A. Bonanno, D. Malafarina, A. Panassiti, Phys. Rev. Lett. 132, 031401 (2024)]. Quantum…

General Relativity and Quantum Cosmology · Physics 2026-01-21 B. C. Lütfüoğlu

We obtain the electric field and scalar field for a static point charge in closed form in the 5D Schwarzschild-Tangherlini black hole spacetime. We then compute the static self-force in each of these cases by assuming that the appropriate…

General Relativity and Quantum Cosmology · Physics 2015-11-19 Peter Taylor , Éanna É. Flanagan

We calculate the gravitational waveform radiated from spinning black holes (BHs) binary in dynamical Chern-Simons (dCS) gravity. The equation of motion (EOM) of the spinining binary BHs is derived based on the modified…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Zhao Li , Jin Qiao , Tan Liu , Tao Zhu , Wen Zhao

We study gravitational lensing by a recently proposed black hole solution in Loop Quantum Gravity. We highlight the fact that the quantum gravity corrections to the Schwarzschild metric in this model evade the `mass suppression' effects…

General Relativity and Quantum Cosmology · Physics 2015-03-16 Satyabrata Sahu , Kinjalk Lochan , D. Narasimha

We overview the recently proposed mode-sum regularization prescription (MSRP) for the calculation of the local radiation-reaction forces, which are crucial for the orbital evolution of binaries. We then describe some new results which were…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Lior M. Burko

We present a mode-sum regularization prescription for computing the vacuum polarization of a scalar field in static spherically-symmetric black hole spacetimes in even dimensions. This is the first general and systematic approach to…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Peter Taylor , Cormac Breen

Quantized expressions for the gravitational energy and momentum are derived from a linearized theory of teleparallel gravity. The derivation relies on a second-quantization procedure that constructs annihilation and creation operators for…

General Relativity and Quantum Cosmology · Physics 2011-10-18 S. C. Ulhoa