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The theory of gauge-invariant non-spherical metric perturbations of Schwarzschild black hole spacetimes is now well established. Yet, as different notations and conventions have been used throughout the years, the literature on the subject…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Alessandro Nagar , Luciano Rezzolla

In this paper we show how the solar system, the galactic, and the cosmological scales, are accommodated in a single framework, namely, in the derivative expansion framework. We construct a locally inertial static metric, based on the…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Fateen Haddad , Nidal Haddad

We generalize the topological model recently proposed and investigate the cosmological perturbations of the model. The model has an exact de Sitter background solution associated with a Becchi-Rouet-Stora(BRS) quartet terms which are…

High Energy Physics - Theory · Physics 2017-10-04 Rio Saitou , Yungui Gong

Exact solutions of the Einstein-Maxwell equations that describe moving black holes in a cosmological setting are discussed with the aim of discovering the global structure and testing cosmic censorship. Continuation beyond the horizons…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Dieter R. Brill

The Snyder-de Sitter (SdS) model is a generalization of the Snyder model to a spacetime background of constant curvature. It is an example of noncommutative spacetime admitting two fundamental scales besides the speed of light, and is…

High Energy Physics - Theory · Physics 2012-07-24 S. Mignemi

The Schwarzschild-Melvin spacetime is an exact solution of the Einstein electrovacuum equations describing a black hole immersed in a magnetic field which is asymptotically aligned with the z-axis. It plays an important role in our…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Vitor Cardoso , José Natário

The Klein-Gordon equation in the Rindler space-time is studied carefully. It is shown that the stable properties depend on using what time coordinate to define the initial time. If we use the Rindler time, the scalar field is stable.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tian Gui-hua , Shi-kun Wang , Shuquan Zhong

We extract the Hubble law by the frequency-shift considerations of test particles revolving the Kerr black hole in asymptotically de Sitter spacetime. To this end, we take into account massive geodesic particles circularly orbiting the…

General Relativity and Quantum Cosmology · Physics 2023-05-29 Mehrab Momennia , Alfredo Herrera-Aguilar , Ulises Nucamendi

We review results on the spherically symmetric, asymptotically flat Einstein-Vlasov system. We focus on a recent result where we found explicit conditions on the initial data which guarantee the formation of a black hole in the evolution.…

General Relativity and Quantum Cosmology · Physics 2011-02-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

The regularized four-dimensional Einstein-Gauss-Bonnet model has been recently proposed in [D. Glavan and C. Lin, Phys. Rev. Lett. \textbf{124}, 081301 (2020)] whose formulation is different of the Einstein theory, allowing us to bypass the…

General Relativity and Quantum Cosmology · Physics 2021-02-26 M. A. Cuyubamba

The thermodynamic behaviours of multi-horizon black holes such as a Schwarzschild-de Sitter black hole have been one of the long-standing mysteries in gravitational physics since they involve quantum natures in gravitational systems and…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Ratchaphat Nakarachinda , Lunchakorn Tannukij , Pitayuth Wongjun , Tanapat Deesuwan

This work is geared towards analysis of shadows cast by Kerr-de Sitter (KdS) and Kerr-de Sitter Revisited (RKdS) black holes. Considering observers in the vicinity of the static radius, we derive the impact parameters defining the apparent…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Eunice Omwoyo , Humberto Belich , Júlio C. Fabris , Hermano Velten

Motivated by the existence of black holes with various topologies in four-dimensional spacetimes with a negative cosmological constant, we study axisymmetric static solutions describing any large distortions of Schwarzschild-anti-de Sitter…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. Tomimatsu

A new class of exact spacetimes in Einstein's gravity, which are Kerr black holes immersed in an external magnetic (or electric) field that is asymptotically uniform and oriented along the rotational axis, is presented. These are…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Jiri Podolsky , Hryhorii Ovcharenko

We study regular Schwarzschild black holes in General Relativity as an alternative to the singular counterpart. We analyze two types of solutions which are completely parameterised by the ADM mass alone. We find that both families of…

General Relativity and Quantum Cosmology · Physics 2025-02-20 Roberto Casadio , Alexander Kamenshchik , Jorge Ovalle

The complete analytical solutions of the geodesic equation of massive test particles in higher dimensional Schwarzschild, Schwarzschild-(anti)de Sitter, Reissner-Nordstroem and Reissner-Nordstroem-(anti)de Sitter space--times are presented.…

General Relativity and Quantum Cosmology · Physics 2009-04-23 Eva Hackmann , Valeria Kagramanova , Jutta Kunz , Claus Laemmerzahl

The exact computation of asymptotic quasinormal frequencies is a technical problem which involves the analytic continuation of a Schrodinger-like equation to the complex plane and then performing a method of monodromy matching at the…

High Energy Physics - Theory · Physics 2015-06-26 Vitor Cardoso , Jose Natario , Ricardo Schiappa

We have developed a realistic, fully general relativistic computer code to simulate optical projection in a strong, spherically symmetric gravitational field. The standard theoretical analysis of optical projection for an observer in the…

Astrophysics · Physics 2009-11-13 P. Bakala , P. Cermak , S. Hledik , Z. Stuchlik , K. Truparova

This two-part contribution to the Proceedings of the Eighth Canadian Conference on General Relativity and Relativistic Astrophysics is devoted to the evolution of a massless scalar field in two black-hole spacetimes which are not…

General Relativity and Quantum Cosmology · Physics 2009-10-31 William G. Laarakkers , Eric Poisson

The Schwarzschild-de Sitter and Reissner-Nordstr\"om-de Sitter black hole metrics appear as exact solutions in the recently formulated massive gravity of de Rham, Gabadadze and Tolley (dRGT), where the mass term sets the curvature scale.…

General Relativity and Quantum Cosmology · Physics 2011-08-09 Th. M. Nieuwenhuizen
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