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We construct a novel exact solution of the Einstein-scalar-Maxwell equations describing a dynamical black hole immersed in an external, time-dependent electromagnetic field. Motivated by the need for more realistic analytical black hole…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Jibril Ben Achour , Adolfo Cisterna , Amaro Díaz , Keanu Müller

The interior geometry of static, spherically symmetric black holes of the Einstein-Yang-Mills-Higgs theory is analyzed. It is found that in contrast to the Abelian case generically no inner (Cauchy) horizon is formed inside non-Abelian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Breitenlohner , George Lavrelashvili , Dieter Maison

We study the nonlinear evolution of the spherical symmetric black holes under a small neutral scalar field perturbation in Einstein-Maxwell-dilaton theory with coupling function $f(\phi)=e^{-b\phi}$ in asymptotic anti-de Sitter spacetime.…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Cheng-Yong Zhang , Peng Liu , Yunqi Liu , Chao Niu , Bin Wang

Hawking has shown that if black holes were to exist in a universe that expands forever, black holes would completely evaporate, violating unitarity. I argue this means unitarity requires that the universe exist for only a finite future…

Astrophysics · Physics 2009-11-06 Frank J. Tipler

In a recent letter, we presented numerical relativity simulations, solving the full Einstein--Maxwell--Klein-Gordon equations, of superradiantly unstable Reissner-Nordstr\"om black holes (BHs), enclosed in a cavity. Low frequency, spherical…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Nicolas Sanchis-Gual , Juan Carlos Degollado , Carlos Herdeiro , José A. Font , Pedro J. Montero

This work is an extensive literature review focusing on a few of the important topics in the large-scale structure of spacetime. The work is a Bachelor's thesis submitted at the Institute of Theoretical Physics, University of Leipzig. The…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Rohan Kulkarni

A positive cosmological constant $\Lambda >0$ sets an upper limit for the area of marginally future-trapped surfaces enclosing a black hole (BH). Does this mean that the mass of the BH cannot increase beyond the corresponding limit? I…

General Relativity and Quantum Cosmology · Physics 2022-12-07 José M. M. Senovilla

We show the existence of complete, asymptotically flat Cauchy initial data for the vacuum Einstein field equations, free of trapped surfaces, whose future development must admit a trapped surface. Moreover, the datum is exactly a constant…

General Relativity and Quantum Cosmology · Physics 2012-07-16 Junbin Li , Pin Yu

In this paper we construct a class of hairy static black holes of higher dimensional Einstein-Skyrme theories with the cosmological constant $\Lambda \le 0$ whose scalar is an $SU(2)$ valued field. The spacetime is set to be conformal to $…

High Energy Physics - Theory · Physics 2022-02-21 Bobby E. Gunara , Fiki T. Akbar , Rizqi Fadli , Deden M. Akbar , Hadi Susanto

We discuss the problem of the quantization and dynamic evolution of a scalar free field in the interior of a Schwarzschild black hole. A unitary approach to the dynamics of the quantized field is proposed: a time-dependent Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Pawel Gusin , Andrzej Radosz , Andy T. Augousti , Janos Polonyi , Oleg B. Zaslavskii , Romuald J. 'Sciborski

A complete characterization is obtained of the asymptotic behavior of solutions of the static vacuum Einstein equations which have a (pseudo)-compact horizon or boundary and are complete away from the boundary. It is proved that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Michael T. Anderson

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul Tod

In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum…

General Relativity and Quantum Cosmology · Physics 2021-03-12 Antonio De Felice , Andreas Doll , François Larrouturou , Shinji Mukohyama

We generalize the superposition principle for time-symmetric initial data of black hole spacetimes to (anti-)de Sitter cosmologies in terms of an eigenvalue problem $\Delta_g\phi={1/8}(R_g-2\Lambda)\phi$ for a conformal scale $\phi$ applied…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Maurice H. P. M. van Putten

Rotating black holes in Einstein-Maxwell-Chern-Simons theory possess remarkable features, when the Chern-Simons coupling constant reaches a critical value. Representing single asymptotically flat black holes with horizons of spherical…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

We outline the class of globally regular spherically symmetric solutions to the minimally coupled GR equations asymptotically de Sitter in the origin and asymptotically Schwarzschild at infinity. A source term connects smoothly de Sitter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Irina Dymnikova

This paper is motivated by the non-linear stability problem for the expanding region of Kerr de Sitter cosmologies in the context of Einstein's equations with positive cosmological constant. We show that under dynamically realistic…

Analysis of PDEs · Mathematics 2021-03-03 Volker Schlue

We develop a scattering theory for the linear wave equation $\Box_g \psi = 0$ on the interior of Reissner-Nordstr\"om black holes, connecting the fixed frequency picture to the physical space picture. Our main result gives the existence,…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Christoph Kehle , Yakov Shlapentokh-Rothman

We prove that the area of sections of future event horizons in space-times satisfying the null energy condition is non-decreasing towards the future under any one of the following circumstances: 1) the horizon is future geodesically…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chruściel , Erwann Delay , Gregory J. Galloway , Ralph Howard

Both cosmological expansion and black holes are ubiquitous features of our observable Universe, yet exact solutions connecting the two have remained elusive. To this end, we study self-gravitating classical fields within dynamical…

General Relativity and Quantum Cosmology · Physics 2014-05-16 Elcio Abdalla , Niayesh Afshordi , Michele Fontanini , Daniel C. Guariento , Eleftherios Papantonopoulos
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