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It has been recently established in \textit{Phys.Lett.B 861 (2025) 139260} that regular, asymptotically flat black holes exist in pure gravity theories in dimension greater than four. We extend this result to asymptotically Anti-de Sitter…

High Energy Physics - Theory · Physics 2025-06-17 Monserrat Aguayo , Leonardo Gajardo , Nicolás Grandi , Javier Moreno , Julio Oliva , Martín Reyes

A unified approach to regular interiors of black holes with smooth matter distributions in the core region is given. The approach is based on a class of Kerr-Schild metrics representing minimal deformations of the Kerr-Newman solution, and…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alexander Burinskii , Emilio Elizalde , Sergi R. Hildebrandt , Giulio Magli

We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by…

High Energy Physics - Theory · Physics 2010-11-19 S. Mignemi , D. L. Wiltshire

Different classes of exact solutions for the BHT massive gravity theory are constructed and analyzed. We focus in the special case of the purely quadratic Lagrangian, whose field equations are irreducibly of fourth order and are known to…

High Energy Physics - Theory · Physics 2015-12-31 Cédric Troessaert , David Tempo , Ricardo Troncoso

We construct dynamical many-black-hole spacetimes with well-controlled asymptotic behavior as solutions of the Einstein vacuum equation with positive cosmological constant. We accomplish this by gluing Schwarzschild-de Sitter or Kerr-de…

Analysis of PDEs · Mathematics 2020-01-29 Peter Hintz

Keeping in view the ordering ambiguity that arises due to the presence of position-dependent effective mass in the kinetic energy term of the Hamiltonian, a general scheme for obtaining algebraic solutions of quantum mechanical systems with…

Quantum Physics · Physics 2016-06-29 Naila Amir , Shahid Iqbal

In this Letter we derive the gravity field equations by varying the action for an ultraviolet complete quantum gravity. Then we consider the case of a static source term and we determine an exact black hole solution. As a result we find a…

General Relativity and Quantum Cosmology · Physics 2011-02-22 Leonardo Modesto , John W. Moffat , Piero Nicolini

We use braneworld holography to construct a three-dimensional quantum-corrected Kerr-de Sitter black hole, exactly accounting for semi-classical backreaction effects due to a holographic conformal field theory. By contrast, classically…

High Energy Physics - Theory · Physics 2023-07-12 Emanuele Panella , Andrew Svesko

We derive a new exact static and spherically symmetric vacuum solution in the framework of the Poincar\'e gauge field theory with dynamical massless torsion. This theory is built in such a form that allows to recover General Relativity when…

General Relativity and Quantum Cosmology · Physics 2018-12-04 Jose A. R. Cembranos , Jorge Gigante Valcarcel

We construct different neutral blackfold solutions in Anti-de Sitter and de Sitter background spacetimes in the limit where the cosmological scale is taken to be much larger than the transverse horizon size. This includes a class of…

High Energy Physics - Theory · Physics 2014-12-23 Jay Armas , Niels A. Obers

We study the polarization of the vacuum for a scalar field, $<\phi^2 >$, on an asymptotically anti-de Sitter black hole geometry. The method we follow uses the WKB analytic expansion and point-splitting regularization, similarly to previous…

High Energy Physics - Theory · Physics 2009-02-20 Antonino Flachi , Takahiro Tanaka

We introduce novel black hole (BH) solutions, charge/non-charge, within the framework of $f(R)$ gravity, a theory that does not inherently include a cosmological constant, using equal/diffirent metric ansatzs. Remarkably, these solutions…

General Relativity and Quantum Cosmology · Physics 2025-09-22 G. G. L. Nashed

We obtain a general class of time-dependent, asymptotically de Sitter backgrounds which solve the first order bosonic equations that extremize the action for supergravity with gauged non-compact $R$-symmetry. These backgrounds correspond…

High Energy Physics - Theory · Physics 2009-09-17 Klaus Behrndt , Mirjam Cvetic

Source-free equations of nonlinear electrodynamics minimally coupled to gravity admit regular axially symmetric asymptotically Kerr-Newman solutions which describe charged rotating black holes and electromagnetic spinning solitons (lumps).…

General Relativity and Quantum Cosmology · Physics 2015-10-06 Irina Dymnikova

We show that D-dimensional de Sitter space is unstable to the nucleation of non-singular geometries containing spacetime regions with different numbers of macroscopic dimensions, leading to a dynamical mechanism of compactification. These…

High Energy Physics - Theory · Physics 2011-04-14 Sean M. Carroll , Matthew C. Johnson , Lisa Randall

We use a Hamiltonian version of the semiclassical Einstein equation to study classical gravity coupled to a quantum scalar field with potential in spherical symmetry. The system is defined by effective constraints where the matter terms are…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Irfan Javed , Viqar Husain

A exact de Sitter-like cosmological solution of quadratic gravitation with torsion has been found. In the limit of constant energy and pressure, it becomes a exact de Sitter spacetime. It exists in a wide class of quadratic gravity theories…

General Relativity and Quantum Cosmology · Physics 2011-10-18 Guo-Ying Qi , Yongxin Guo

Effective models inspired by loop quantum gravity typically resolve the central singularity by replacing it with a bounce of the matter density in the Planckian regime. In the specific model analyzed here, this bounce is generally followed…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Francesco Fazzini

We present the most general and exact solution of Einstein's gravity sourced by an anisotropic fluid describing the cosmological embedding (CE) of a static and spherically-symmetric object, including black holes (BHs) or exotic compact…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Mariano Cadoni , Leonardo de Lima , Mirko Pitzalis , Davi C. Rodrigues , Andrea P. Sanna

The exact charged rotating solution of 2+1 Einstein-Maxwell equations with $\Lambda$ term is obtained and its properties outlined. It generalizes the Cataldo-Cruz-del Campo-Garc{\'\i}a relativistic charged massive black hole on the 2+1…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nikolai V. Mitskievich , Alberto A. Garcia