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Einstein's equations are known to lead to the formation of black holes and spacetime singularities. This appears to be a manifestation of the mathematical phenomenon of finite-time blowup: a formation of singularities from regular initial…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Amos Ori , Dan Gorbonos

We construct a black hole initial data for the Einstein equations with prescribed scalar curvature, or more precisely a piece of initial data contained inside the black hole. The constraints translate into a parabolic equation, with radius…

微分几何 · 数学 2012-07-12 Bernold Fiedler , Juliette Hell , Brian Smith

A four-dimensional static Schwarzschild-like solution obtained in [3]-[6] in the frames of the Einstein-Gauss-Bonnet gravity at the Kaluza-Klein split is analyzed. The matter in these solutions is created by auxiliary dimensions. The main…

广义相对论与量子宇宙学 · 物理学 2016-01-07 S. O. Alexeyev , B. N. Latosh , A. N. Petrov

We construct a family of asymptotically flat Cauchy initial data for the Einstein vacuum equations that contain no trapped surfaces, yet whose future development admits multiple causally independent trapped surfaces. Assuming the weak…

广义相对论与量子宇宙学 · 物理学 2025-06-23 Dawei Shen , Jingbo Wan

We study dynamical gravitational collapse in a theory with an infinite tower of higher-derivative corrections to the Einstein-Hilbert action and we show that, under very general conditions, it leads to the formation of regular black holes.…

广义相对论与量子宇宙学 · 物理学 2024-12-30 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

We obtain a black hole solution in the Einstein-Gauss-Bonnet theory for the string cloud model in a five dimensional spacetime. We analyze the event horizons and naked singularities. Later, we compute the Hawking temperature…

高能物理 - 理论 · 物理学 2016-08-14 Estanislao Herscovich , Martín G. Richarte

In this work we study static black holes in the regularized 4D Einstein-Gauss-Bonnet theory of gravity; a shift-symmetric scalar-tensor theory that belongs to the Horndeski class. This theory features a simple black hole solution that can…

广义相对论与量子宇宙学 · 物理学 2021-08-18 Pedro G. S. Fernandes , Pedro Carrilho , Timothy Clifton , David J. Mulryne

We numerically investigate the dynamics near black hole formation of solutions to the Einstein--Vlasov system in axisymmetry. Our results are obtained using a particle-in-cell and finite difference code based on the $(2+1)+1$ formulation of…

广义相对论与量子宇宙学 · 物理学 2021-02-05 Ellery Ames , Håkan Andréasson , Oliver Rinne

In the mathematical physics literature, there are heuristic arguments, going back three decades, suggesting that for an open set of initially smooth solutions to the Einstein-vacuum equations in high dimensions, stable, approximately…

偏微分方程分析 · 数学 2018-04-19 Igor Rodnianski , Jared Speck

We obtain a new exact black-hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold…

高能物理 - 理论 · 物理学 2009-11-11 Hideki Maeda , Naresh Dadhich

Einstein-Maxwell-Gauss-Bonnet-axion theory in $4$-dimensional spacetime is investigated in this paper through a "Kaluza-Klein-like" process. Dual to systems at finite temperature with background magnetic field on three dimensions, the…

高能物理 - 理论 · 物理学 2021-05-04 Yi-Li Wang , Xian-Hui Ge

An exhaustive classification of certain class of static solutions for the five-dimensional Einstein-Gauss-Bonnet theory in vacuum is presented. The class of metrics under consideration is such that the spacelike section is a warped product…

高能物理 - 理论 · 物理学 2008-11-26 Gustavo Dotti , Julio Oliva , Ricardo Troncoso

We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory in the presence of Liouville-type potentials for the dilaton field. These solutions describe dilaton black holes with nontrivial topology and nonlinear…

高能物理 - 理论 · 物理学 2008-11-26 Ahmad Sheykhi

Motivated by quantum gravity effects suggested by string theory, we investigate gravitational configurations sourced by an effective energy density inspired by T-duality. This density naturally introduces a minimal length scale $l_0$ that…

广义相对论与量子宇宙学 · 物理学 2026-03-09 G. Alencar , T. M. Crispim , Diego Sáez-Chillón Gómez , Marcos V. de S. Silva

We consider the Einstein-Gauss-Bonnet equations in five dimensions including a negative cosmological constant and a Maxwell field. Using an appropriate Ansatz for the metric and for the electromagnetic fields, we construct numerically black…

广义相对论与量子宇宙学 · 物理学 2011-12-01 Y. Brihaye

Two novel topological black hole exact solutions with unusual shapes of horizons in the simplest holographic axions model, the four-dimensional Einstein-Maxwell-axions theory, are constructed. We draw embedding diagrams in various…

广义相对论与量子宇宙学 · 物理学 2024-01-19 Jinbo Yang

This paper introduces a new effort to study the collision of plane-fronted gravitational waves in four dimensional, asymptotically flat spacetime, using numerical solutions of the Einstein equations. The pure vacuum problem requires…

广义相对论与量子宇宙学 · 物理学 2018-11-07 Frans Pretorius , William E. East

We construct rotating black hole solutions in Einstein-Gauss-Bonnet theory in five spacetime dimensions. These black holes are asymptotically flat, and possess a regular horizon of spherical topology and two equal-magnitude angular momenta…

高能物理 - 理论 · 物理学 2015-03-17 Yves Brihaye , Burkhard Kleihaus , Jutta Kunz , Eugen Radu

This work investigates black holes within a modified framework of gravity that incorporates quantum-inspired corrections and a fundamental minimal length scale. By integrating Einstein-Gauss-Bonnet gravity with a specially tailored matter…

广义相对论与量子宇宙学 · 物理学 2025-09-23 A. Errehymy , Y. Khedif , M. Daoud , K. Myrzakulov , B. Turimov , T. Myrzakul

We report on numerical simulations of critical phenomena near the threshold of black hole formation in the collapse of axisymmetric gravitational waves in vacuum. We discuss several new features of our numerical treatment, and then compare…

广义相对论与量子宇宙学 · 物理学 2024-06-26 Thomas W. Baumgarte , Carsten Gundlach , David Hilditch
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