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It is shown that for small, spherically symmetric perturbations of asymptotically flat two-ended Reissner-Nordstr\"om data for the Einstein-Maxwell-real scalar field system, the boundary of the dynamic spacetime which evolves is globally…

General Relativity and Quantum Cosmology · Physics 2014-12-30 Mihalis Dafermos

The third law of black hole dynamics states that the surface gravity (temperature) of black hole cannot be reduced to zero in finite sequence of physical interactions. We argue that the same is true when surface gravity is replaced by…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Naresh Dadhich , K. Narayan

We investigate the solutions of black holes in $f(T)$ gravity with nonlinear power-law Maxwell field, where $T$ is the torsion scalar in teleparalelism. In particular, we introduce the Langranian with diverse dimensions in which the…

General Relativity and Quantum Cosmology · Physics 2021-07-28 G. G. L. Nashed , K. Bamba

In spherical symmetry compelling numerical evidence suggests that in general relativity solutions near the threshold of black hole formation exhibit critical behavior. One aspect of this is that threshold solutions themselves are…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Isabel Suárez Fernández , Rodrigo Vicente , David Hilditch

Black holes with hair represented by generic fields surrounding the central source of the vacuum Schwarzschild metric are examined under the minimal set of requirements consisting of i) the existence of a well defined event horizon and ii)…

General Relativity and Quantum Cosmology · Physics 2020-11-17 J. Ovalle , R. Casadio , E. Contreras , A. Sotomayor

Considering a generalised action for Einstein Maxwell theory in four dimensions coupled to scalar and pseudo-scalar fields, the thermodynamic properties of asymptotically flat black holes solutions in such a background are investigated.…

High Energy Physics - Theory · Physics 2008-12-30 Tanwi Ghosh , Soumitra SenGupta

We investigate the nonlinear evolution of black hole ringdown in the framework of higher-order metric perturbation theory. By solving the initial-value problem of a simplified nonlinear field model analytically as well as numerically, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Satoshi Okuzumi , Kunihito Ioka , Masa-aki Sakagami

Gravitational radiation and some global properties of spacetimes can only be unambiguously measured at future null infinity . This motivates the interest in reaching it within simulations of coalescing compact objects, whose waveforms are…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Alex Vañó-Viñuales

We present a new pseudo-spectral code for the simulation of evolution systems that are second order in space. We test this code by evolving a non-linear scalar wave equation. These non-linear waves can be stably evolved using very simple…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Wolfgang Tichy

In this work we establish in a rigorous manner, and a model independent way, the conditions for bypassing Bekenstein's no-scalar-hair theorem for static, spherically symmetric, and asymptotically flat black holes, while maintaining the…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Panagiotis Dorlis , Nick E. Mavromatos , Sotirios-Neilos Vlachos

This paper is concerned with the Einstein equations in axisymmetric vacuum spacetimes. We consider numerical evolution schemes that solve the constraint equations as well as elliptic gauge conditions at each time step. We examine two such…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Oliver Rinne

We study the late-time tails appearing in the propagation of massless fields (scalar, electromagnetic and gravitational) in the vicinities of a D-dimensional Schwarzschild black hole. We find that at late times the fields always exhibit a…

High Energy Physics - Theory · Physics 2009-11-10 Vitor Cardoso , Shijun Yoshida , Oscar J. C. Dias , Jose' P. S. Lemos

We study physical properties and global structures of a time-dependent, spherically symmetric solution obtained via the dimensional reduction of intersecting M-branes. We find that the spacetime describes a maximally charged black hole…

High Energy Physics - Theory · Physics 2010-04-06 Kei-ichi Maeda , Masato Nozawa

Physical arguments related with the existence of black hole solutions having a non trapping interior are discussed. Massive scalar fields interacting with gravity are considered. Interior asymptotic solutions showing a scalar field…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Alejandro Cabo , Eloy Ayon

As one of the fitting methods, the polynomial approximation is effective to process sophisticated problem. In this paper, we employ this approach to handle the scattering of scalar field around the Schwarzschild-de Sitter black-hole. The…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Molin Liu , Hongya Liu , Jingfei Zhang , Fei Yu

We introduce a class of nonlinear hyperbolic conservation laws on a Schwarzschild black hole background and derive several properties satisfied by (possibly weak) solutions. Next, we formulate a numerical approximation scheme which is based…

Analysis of PDEs · Mathematics 2024-12-20 Shijie Dong , Philippe G. LeFloch

The motion of a charged particle is influenced by the self-force arising from the particle's interaction with its own field. In a curved spacetime, this self-force depends on the entire past history of the particle and is difficult to…

General Relativity and Quantum Cosmology · Physics 2012-09-28 Peter Diener , Ian Vega , Barry Wardell , Steven Detweiler

We present new analytical self-similar solutions describing a collapse of a massless scalar field in scalar-tensor theories. The solutions exhibit a type of critical behavior. The black hole mass for the near critical evolution is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Stoytcho S. Yazadjiev

Recent work in the literature has studied a version of non-commutative Schwarzschild black holes where the effects of non-commutativity are described by a mass function depending on both the radial variable r and a non-commutativity…

High Energy Physics - Theory · Physics 2008-11-26 Elisabetta Di Grezia , Giampiero Esposito , Gennaro Miele

An exact and analytical solution, in four-dimensional general relativity coupled with Maxwell electromagnetism, is built by means of a Lie point symmetry of the Ernst equations, the Harrison transformation. The new spacetime describes a…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Marco Astorino