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We use the recently developed massive field approach to calculate the scalar self-force on a static particle in a Schwarzschild spacetime. In this approach the scalar self-force is obtained from the difference between the (massless) scalar…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eran Rosenthal

We propose a practical scheme for calculating the local gravitational self-force experienced by a test mass particle moving in a black hole spacetime. The method---equally effective for either weak or strong field orbits---employs the {\em…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack

We study analytically a black-hole-ring system which is composed of a stationary axisymmetric ring of particles in orbit around a perturbed Kerr black hole of mass $M$. In particular, we calculate the shift in the orbital frequency of the…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Shahar Hod

Second-order self-force calculations will be critical for modelling extreme-mass-ratio inspirals, and they are now known to have high accuracy even for binaries with mass ratios $\sim 1:10$. Many of the challenges facing these calculations…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Rodrigo Panosso Macedo , Patrick Bourg , Adam Pound , Samuel D. Upton

In this paper we study the vacuum quantum fluctuations of the stationary modes of an uncharged scalar field with mass $m$ around a Schwarzschild black hole with mass $M$, at zero and non-zero temperatures. The procedure consists of…

General Relativity and Quantum Cosmology · Physics 2018-01-10 C. R. Muniz , M. O. Tahim , M. S. Cunha , H. S. Vieira

A numerical study of the evolution of a massless scalar field in the background of rotating black holes is presented. First, solutions to the wave equation are obtained for slowly rotating black holes. In this approximation, the background…

General Relativity and Quantum Cosmology · Physics 2009-12-30 W. Krivan , P. Laguna , P. Papadopoulos

We investigate the use of the Gegenbauer procedure for time-domain reconstruction in frequency-domain calculations of the self-force on a particle orbiting a black hole. The conventional technique relies on the so-called method of extended…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Christopher Whittall , Leor Barack , Oliver Long

In this article we will discuss a Lorentzian sector calculation of the entropy of a minimally coupled scalar field in the Kerr black hole background. We will use the brick wall model of G.'t Hooft. In the Kerr black hole, complications…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Kaushik Ghosh

We study the scalar perturbation on the background of a Kerr black hole in the dynamical Chern-Simons modified gravity with a quadratic coupling between the scalar field and Chern-Simons term. In particular, the late-time tails of scalar…

General Relativity and Quantum Cosmology · Physics 2019-02-22 Yuan-Xing Gao , Yang Huang , Dao-Jun Liu

A (charged) rotating black hole may be unstable against a (charged) massive scalar field perturbation due to the existence of superradiance modes. The stability property depends on the parameters of the system. In this paper, the…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Jia-Mao Lin , Ming-Jian Luo , Zi-Han Zheng , Lei Yin , Jia-Hui Huang

We investigate the quasibound states of charged massive scalar fields in the Kerr-Newman black hole spacetime by using a new approach recently developed, which uses the polynomial conditions of the Heun functions. We calculate the resonant…

General Relativity and Quantum Cosmology · Physics 2022-10-24 H. S. Vieira , V. B. Bezerra , C. R. Muniz

We study the scalar radiation emitted by a source orbiting a Schwarzschild--anti--de Sitter black hole in circular geodesics. We obtain the emitted power using quantum field theory in curved spacetimes at tree level with reflective boundary…

General Relativity and Quantum Cosmology · Physics 2022-11-30 J. P. B. Brito , R. P. Bernar , L. C. B. Crispino

Horizon fluxes of energy and angular momentum are a key strong-field effect in the dynamics of black holes, encoding direct information about their nature. In this work, we present a numerical study of these fluxes for a test particle…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Rossella Gamba , Danilo Chiaramello , Estuti Shukla , Simone Albanesi

In this paper we study the scalar Green function in the Kerr spacetime using WKB methods. The Green function can be expressed by Fourier-transforming to its frequency-domain counterpart, and with the help of complex analysis it can be…

General Relativity and Quantum Cosmology · Physics 2014-04-22 Huan Yang , Fan Zhang , Aaron Zimmerman , Yanbei Chen

When a charge is held static near a constant density spherical star, it experiences a self-force which is significantly different from the force it would experience when placed near a black hole of the same mass. In this paper, an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Karthik Shankar , Bernard F. Whiting

We study charged massive scalar field perturbations on the rotating black hole (BH) background of Einstein-Maxwell-Dilaton-Axion (EMDA) theory, known as the Kerr-EMDA BH. Starting from the gauge-covariant Klein-Gordon equation (KGE), we…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Nazım Sertkan , İzzet Sakallı

We investigate the instability of the massive scalar field in the vicinity of a rotating black hole. The instability arises from amplification caused by the classical superradiance effect. The instability affects bound states: solutions to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

We present the first orbit-integrated self force effects for an IMRI or EMRI source, specifically the effects of its conservative piece on the orbit and on the waveform. We consider the quasi-circular motion of a particle in the spacetime…

General Relativity and Quantum Cosmology · Physics 2012-07-13 Lior M. Burko , Kristen A. Lackeos

Forces defined in the framework of optical reference geometry are introduced in the case of stationary and axially symmetric Kerr black-hole and naked-singularity spacetimes with a repulsive cosmological constant. Properties of the forces…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jiri Kovar , Zdenek Stuchlik

Post-adiabatic models of extreme- and intermediate-mass-ratio inspirals will require calculations of second-order gravitational self-force effects in the spacetime of a spinning, Kerr black hole. We take a step toward such calculations by…

General Relativity and Quantum Cosmology · Physics 2024-11-04 Patrick Bourg , Benjamin Leather , Marc Casals , Adam Pound , Barry Wardell