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We study conformally-invariant theories of gravity in six dimensions. In four dimensions, there is a unique such theory that is polynomial in the curvature and its derivatives, namely Weyl-squared, and furthermore all solutions of Einstein…

High Energy Physics - Theory · Physics 2013-05-21 H. Lu , Y. Pang , C. N. Pope

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

An anisotropic fluid with positive energy density and negative pressures is proposed in the black hole interior. The gravitational field is constant everywhere inside and is given by the horizon surface gravity. Even though the geometry is…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Hristu Culetu

We explore the construction of diverse regular spacetimes (black holes and defects) in General Relativity (GR) using a generic parametrised density profile (the Dekel-Zhao profile), which includes, for specific parameter choices, various…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Anjan Kar , Sayan Kar

In this essay we argue that once quantum gravitational effects change the classical geometry of a black hole and remove the curvature singularity, the black hole would not evaporate entirely but approach a remnant. In a modified…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Li Xiang , Yi Ling , You Gen Shen

We explore black hole solutions in the context of Born-Infeld-f(R) gravity, a modified gravitational framework that extends both Born-Infeld and f(R) theories. By adopting a static, spherically symmetric spacetime ansatz, we derive an exact…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Salih Kibaroğlu

We find a plethora of new analytic black holes and globally regular horizonless spacetimes in three dimensions. The solutions involve a single real scalar field $\phi$ which always admits a magnetic-like expression proportional to the…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Pablo Bueno , Pablo A. Cano , Javier Moreno , Guido van der Velde

An introduction to extended theories of gravity formulated in metric-affine (or Palatini) spaces is presented. Focusing on spherically symmetric configurations with electric fields, we will see that in these theories the central singularity…

High Energy Physics - Theory · Physics 2016-07-25 Gonzalo J. Olmo

Exploring the four-dimensional AdS black hole is crucial within the framework of the AdS/CFT correspondence. In this research, considering the charged scenario, we investigate the four-dimensional stationary and rotating AdS solutions in…

General Relativity and Quantum Cosmology · Physics 2025-01-17 G. G. L. Nashed

Maxwell's equations are invariant under both duality rotations and conformal transformations. Recently Bandos, Lechner, Sorokin, and Townsend have found a nonlinear generalisation of electrodynamics which possesses both of these symmetries.…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Daniel Flores-Alfonso , Blanca Angélica González-Morales , Román Linares , Marco Maceda

While singularities are inevitable in the classical theory of general relativity, it is commonly believed that they will not be present when quantum gravity effects are taken into account in a consistent framework. In particular, the…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

We develop a numerical approach to compute polar parity perturbations within fully relativistic models of black hole systems embedded in generic, spherically symmetric, anisotropic fluids. We apply this framework to study gravitational wave…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Nicholas Speeney , Emanuele Berti , Vitor Cardoso , Andrea Maselli

We propose a novel black hole model in which singular and regular black holes are combined as a whole and more precisely singular and regular black holes are regarded as different states of parameter evolution. We refer to them as singular…

General Relativity and Quantum Cosmology · Physics 2023-11-20 Han-Wen Hu , Chen Lan , Yan-Gang Miao

This study examines the gravitational and thermodynamic properties of static, spherically symmetric black holes within cosmic voids -- vast underdense regions of the universe. By deriving a novel solution based on a universal density…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Francisco Bento Lustosa , Milko Estrada , Marcony S. Cunha , Celio R. Muniz

We extract exact charged black-hole solutions with flat transverse sections in the framework of D-dimensional Maxwell-f(T) gravity, and we analyze the singularities and horizons based on both torsion and curvature invariants. Interestingly…

High Energy Physics - Theory · Physics 2013-03-21 Salvatore Capozziello , P. A. Gonzalez , Emmanuel N. Saridakis , Yerko Vasquez

In this paper we discuss modified gravity models in which growth of the curvature is dynamically restricted. To illustrate interesting features of such models we consider a modification of two-dimensional dilaton gravity theory which…

High Energy Physics - Theory · Physics 2021-09-15 Valeri P. Frolov , Andrei Zelnikov

This work aims to explore the gravitational consequences of a recently proposed black hole solution presented in the literature [Phys. Dark Univ. 50 (2025) 102061]. We initiate our analyzes by taking into account the horizon structure,…

General Relativity and Quantum Cosmology · Physics 2025-09-18 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo

We construct regular black holes with anti-de Sitter asymptotics in theories incorporating infinite towers of higher-order curvature corrections in any dimension $D \ge 5$. We find that regular black branes are generically inner-extremal,…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Robie A. Hennigar , David Kubizňák , Sebastian Murk , Ioannis Soranidis

Cutting out an infinite tube around $r=0$ formally removes the Schwarzschild singularity, but without a physical mechanism this procedure seems ad hoc and artificial. In this paper we provide justification for such a mechanism by means of…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Jens Boos

Using a second law of complexity, we prove a black hole singularity theorem. By introducing the notion of trapped extremal surfaces, we show that their existence implies null geodesic incompleteness inside globally hyperbolic black holes.…

High Energy Physics - Theory · Physics 2025-07-31 Vyshnav Mohan
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