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We obtain a family of exact solutions describing magnetized black holes in an external gravitational field. Locally the solutions can be interpreted as representing the near-horizon region of a black hole, which interacts with a surrounding…

广义相对论与量子宇宙学 · 物理学 2017-07-19 Jutta Kunz , Petya Nedkova , Stoytcho Yazadjiev

Action-angle coordinates are a tool commonly used in celestial mechanics to systematically parametrize and store general solutions of the equations of motion of astrophysical bodies. I perturbatively construct action-angle coordinates for…

广义相对论与量子宇宙学 · 物理学 2022-03-24 Vojtěch Witzany

We first present an overview of the Schwarzschild vacuum spacetime within general relativity, with particular emphasis on the role of scalar polynomial invariants and the null frame approach (and the related Cartan invariants), that…

广义相对论与量子宇宙学 · 物理学 2025-03-18 Alan A. Coley , Nicholas T. Layden , Diego F. Lopez

We extend the work of Oppenheimer & Synder to model the gravitational collapse of a star to a black hole by including quantum mechanical effects. We first derive closed-form solutions for classical paths followed by a particle on the…

广义相对论与量子宇宙学 · 物理学 2016-11-14 Jayashree Balakrishna , Ruxandra Bondarescu , Christine Corbett Moran

We find an exact nonstatic charged BTZ-like solutions, in ($N$+1)-dimensional Einstein gravity in the presence of negative cosmological constant and a nonlinear Maxwell field defined by a power $s$ of the Maxwell invariant, which describes…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Sushant G. Ghosh

An explicit fluid flow simulation of electromagnetic wave propagation in the gravitational field of a Schwarzschild black hole is given. The fluid has a constant refractive index and a spherically symmetric inward directed flow. The…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Kjell Rosquist

In this paper, we explore the interior dynamics of neutral and charged black holes. Scalar collapses in flat, Schwarzschild, and Reissner-Nordstrom geometries are simulated. We examine the dynamics in the vicinities of the central…

广义相对论与量子宇宙学 · 物理学 2015-12-02 Jun-Qi Guo , Pankaj S. Joshi

We investigate how GWs pass through the spacetime of a Schwarzschild black hole using time-domain numerical simulations. Our work is based on the perturbed 3+1 Einstein's equations up to the linear order. We show explicitly that our…

广义相对论与量子宇宙学 · 物理学 2022-12-29 Jian-hua He , Zhenyu Wu

The timelike structure of the five-dimensional Schwarzschild and Reissner-Nordstr\"om Anti-de Sitter black holes is studied in detail. Different kinds of motion are allowed and studied by using an adequate effective potential. Then, by…

广义相对论与量子宇宙学 · 物理学 2023-08-04 P. A. González , Marco Olivares , Yerko Vásquez , J. R. Villanueva

We present a characteristic algorithm for computing the perturbations of a Schwarzschild spacetime by means of solving the Teukolsky equations. Our methods and results are expected to have direct bearing on the study of binary black holes…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sascha Husa , Manuela Campanelli , Roberto Gomez , Jeffrey Winicour , Yosef Zlochower

Gravitational decoupling allows to obtain new solutions of general relativity. In this paper, we obtain new solutions of the Einstein field equations which describe non-singular black holes. We consider Hayward and Bardeen regular black…

广义相对论与量子宇宙学 · 物理学 2024-05-14 Maxim Misyura , Angel Rincon , Vitalii Vertogradov

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

高能物理 - 理论 · 物理学 2018-11-13 Damien A. Easson

A strict derivation of the Schwarzschild metric, based solely on Newton's law of free fall and the equivalence principle, is presented. In the light of it, regarding Schwarzschild's coordinates as representing the point of view of a distant…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. Czerniawski

We study numerically the effects of loop quantum gravity motivated corrections on massless scalar field collapse in Painlev\'e-Gullstrand coordinates. Near criticality, the system exhibits Choptuik scaling with the added features of a mass…

广义相对论与量子宇宙学 · 物理学 2009-08-11 J. Ziprick , G. Kunstatter

The thermodynamic properties of Schwarzschild-anti-de Sitter black holes confined within finite isothermal cavities are examined. In contrast to the Schwarzschild case, the infinite cavity limit may be taken which, if suitably stated,…

高能物理 - 理论 · 物理学 2009-10-31 Tim Prestidge

We show non-linear stability and instability results in spherical symmetry for the interior of a charged black hole -approaching a sub-extremal Reissner-Nordstr\"om background fast enough at infinity- in presence of a massive and charged…

广义相对论与量子宇宙学 · 物理学 2018-03-14 Maxime Van de Moortel

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

广义相对论与量子宇宙学 · 物理学 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

We study the behaviour of smooth solutions to the wave equation, $\square_g\psi=0$, in the interior of a fixed Schwarzschild black hole. In particular, we obtain a full asymptotic expansion for all solutions towards $r=0$ and show that it…

广义相对论与量子宇宙学 · 物理学 2019-09-04 Grigorios Fournodavlos , Jan Sbierski

We examine the thermodynamic behavior of a static neutral regular (non-singular) black hole enclosed in a finite isothermal cavity. The cavity enclosure helps us investigate black hole systems in a canonical or a grand canonical ensemble.…

高能物理 - 理论 · 物理学 2025-10-31 Athanasios G. Tzikas

We construct a one-parameter family of static and spherically symmetric solutions to the Einstein-Vlasov system bifurcating from the Schwarzschild spacetime. The constructed solutions have the property that the spatial support of the matter…

偏微分方程分析 · 数学 2020-01-24 Fatima Ezzahra Jabiri