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Black hole (BH) oscillations known as quasi-normal modes (QNMs) are one of the most important gravitational wave (GW) sources. We propose that higher perturbative order of QNMs, generated by nonlinear gravitational interaction near the BHs,…

Astrophysics · Physics 2008-12-18 Kunihito Ioka , Hiroyuki Nakano

Black hole perturbation theory is typically studied on time surfaces that extend between the bifurcation sphere and spatial infinity. From a physical point of view, however, it may be favorable to employ time surfaces that extend between…

General Relativity and Quantum Cosmology · Physics 2011-07-04 Anıl Zenginoğlu

In this paper we extend reduced phase space approach to black hole perturbation theory to Maxwell matter. We expand the resulting reduced Hamiltonian to second order in the graviton and photon perturbations and find that the corresponding…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Jonas Neuser , Thomas Thiemann

We derive the deflection angle of light rays passing near a black hole with mass m and tidal charge q, confined to a generalized Randall-Sundrum brane with codimension one. We employ the weak lensing approach, up to the second order in…

General Relativity and Quantum Cosmology · Physics 2014-11-18 László Á. Gergely , Zoltán Keresztes , Marek Dwornik

The recent first detection of gravitational waves (GWs) from binary black hole mergers has spurred a renewed interest in possible deviations from General Relativity (GR), since they could be detected in the GWs emitted by such systems. Of…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Hugo Roussille

We study black hole formation in the head-on collision of ultrarelativistic charges. The metric of charged particles is obtained by boosting the Reissner-Nordstr\"om spacetime to the speed of light. Using the slice at the instant of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hirotaka Yoshino , Robert B. Mann

During particle collisions in the vicinity of the horizon of black holes, it is possible to achieve energies and temperatures corresponding to phase transitions in particle physics. It is shown that the sizes of the regions of the new phase…

General Relativity and Quantum Cosmology · Physics 2024-03-08 A. A. Grib , Yu. V. Pavlov

The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate…

We study the even-parity $\ell=2$ perturbations of a Schwarzschild black hole to second order. The Einstein equations can be reduced to a single linear wave equation with a potential and a source term. The source term is quadratic in terms…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

We perform numerical-relativity simulations of high-energy head-on collisions of charged black holes with the same charge-to-mass ratio $\lambda$. We find that electromagnetic interactions have subdominant effects already at low Lorentz…

General Relativity and Quantum Cosmology · Physics 2022-02-14 Gabriele Bozzola

Using second order black hole perturbation theory, we show that the difference between the ADM mass and the final black hole mass, computed to the lowest significant order, is equal, to the same order, to the total gravitational radiation…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Reinaldo Gleiser

The construction of initial-data sets representing binary black-hole configurations in quasi-circular orbits is studied in the context of the conformal-imaging formalism. An effective-potential approach for locating quasi-circular orbits is…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Gregory B. Cook

I describe approaches to the study of black hole spacetimes via numerical relativity. After a brief review of the basic formalisms and techniques used in numerical black hole simulations, I discuss a series of calculations from axisymmetry…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Seidel

We numerically investigate the formation of D-dimensional black holes in high-energy particle collision with the impact parameter and evaluate the total cross section of the black hole production. We find that the formation of an apparent…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hirotaka Yoshino , Yasusada Nambu

The ringdown phase of a black hole formed from the merger of two orbiting black holes is described by means of the close-limit (CL) approximation starting from second-post-Newtonian (2PN) initial conditions. The 2PN metric of point-particle…

General Relativity and Quantum Cosmology · Physics 2010-01-29 Alexandre Le Tiec , Luc Blanchet

In this paper we have studied the possibility of the center-of-mass energy of two particles colliding near the horizon of a static charged black hole in string theory. Various cases corresponding to the electric charge and the angular…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Sharmanthie Fernando

Relativistic black hole collisions are one of the most dramatic astrophysical events that can be imagined. They could provide the ideal condition for searching for possible new physics beyond general relativity. However, such events are…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Yirong Fang , Changfu Shi , Jianwei Mei

Gravitational waves from binary black hole mergers provide a glimpse of gravitational dynamics in its most extreme observable regime, potentially enabling precision tests of general relativity (GR) and of the Kerr description of black…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Ayush Roy , Lorenzo Küchler , Adam Pound , Rodrigo Panosso Macedo

We study the ultrarelativistic head-on collision of equal mass particles, modeled as self-gravitating fluid spheres, by numerically solving the coupled Einstein-hydrodynamic equations. We focus on cases well within the kinetic energy…

General Relativity and Quantum Cosmology · Physics 2013-03-08 William E. East , Frans Pretorius

We consider head-on collisions of two particles near the event horizon. Particle 1 is outgoing, particle 2 is ingoing. We elucidate, in which case the energy $E_{c.m.}$ in the center of mass frame can grow unbounded. If the proper time…

General Relativity and Quantum Cosmology · Physics 2025-01-09 H. V. Ovcharenko , O. B. Zaslavskii