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We present further applications of the formalism introduced by the authors in arXiv:2308.10949, which allows embedding of a broad class of generalized LTB models into effective spherically symmetric spacetimes. We focus on regular black…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Kristina Giesel , Hongguang Liu , Parampreet Singh , Stefan Andreas Weigl

We derive static spherically symmetric regular black holes as vacuum solutions to purely gravitational theories in four dimensions. To that end, we construct four-dimensional non-polynomial gravities starting from subclasses of…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Johanna Borissova , Raúl Carballo-Rubio

New geometric and analytic methods for generating exact and parametric solutions in generalized Einstein-Finsler like gravity theories and nonholonomic Ricci soliton models are reviewed and developed. We show how generalizations of the…

General Physics · Physics 2019-03-12 Laurenţiu Bubuianu , Sergiu I. Vacaru

We derive a class of inner-extremal regular black hole solutions characterized by a degenerate inner horizon. These geometries arise as polymerized vacuum configurations inspired by loop quantum gravity and constitute effective…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Hongguang Liu , Ioannis Soranidis

A regular solution of the system of coupled equations of the nonlinear electrodynamics and gravity describing static and spherically-symmetric black holes in an asymptotically de Sitter universe is constructed and analyzed. Special emphasis…

General Relativity and Quantum Cosmology · Physics 2009-02-12 Jerzy Matyjasek , Dariusz Tryniecki , Mariusz Klimek

The absence of Birkhoff's theorem in effective quantum gravity models leads to a fundamental ambiguity in the vacuum sector, where a priori no unique vacuum solution exists. As a result, phenomenological investigations of the physical…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Kristina Giesel , Hongguang Liu

Regular black hole spacetimes are obtained from an effective Lagrangian for Quantum Einstein Gravity. The interior matter is modeled as a dust fluid, which interacts with the geometry through a multiplicative coupling function denoted as…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Alfio Bonanno , Daniele Malafarina , Antonio Panassiti

We present a class of exact, dynamical, and fully analytic solutions describing regular black holes formed via the gravitational collapse of matter obeying a generalized polytropic equation of state. Starting from a Vaidya-type geometry…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Dmitriy Kudryavcev , Yi Ling , Vitalii Vertogradov

We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

We obtain rotating solutions of regular black holes which are constructed of de Sitter spacetime with the axisymmetric stationary perturbation within the timelike charged thin shell and the Kerr-Newman geometry with sufficiently small…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Nami Uchikata , Shijun Yoshida

Charged static and rotating objects as solutions of the Einstein-Maxwell field equations are obtained and studied in the present work. The full spacetime geometry is obtained by matching two spacetime regions, an interior region containing…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Marcos L. W. Basso , Vilson T. Zanchin

We present a review on Lagrangian models admitting spherically symmetric regular black holes, and cosmological bounce solutions. Non-linear electrodynamics, non-polynomial gravity, and fluid approaches are explained in details. They consist…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Aimeric Colléaux , Stefano Chinaglia , Sergio Zerbini

We investigate two-dimensional higher derivative gravitational theories in a Riemann-Cartan framework and obtain the most general static black hole solutions in conformal coordinates. We also consider the hamiltonian formulation of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Mignemi

In recent years, black hole (BH) solutions with an integrable singularity have garnered significant attention as alternatives to regular black holes (RBH). In these models, similarly to RBHs, an object would not undergo spaghettification…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Milko Estrada

Effective models of black holes interior have led to several proposals for regular black holes. In the so-called polymer models, based on effective deformations of the phase space of spherically symmetric general relativity in vacuum, one…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Denis Arruga , Jibril Ben Achour , Karim Noui

We present a canonical model of spherical gravity with covariant corrections motivated by loop quantum gravity. The effective Hamiltonian defines univocally a family of geometries that generalizes the Lema\^itre-Tolman-Bondi spacetimes, and…

General Relativity and Quantum Cosmology · Physics 2025-06-05 Asier Alonso-Bardaji

Properties of the rotating Kerr-Newman black hole solution allow to relate it with spinning particles. Singularity of black hole (BH) can be regularized by a metric deformation. In this case, as a consequence of the Einstein equations, a…

High Energy Physics - Theory · Physics 2008-11-26 Alexander Burinskii , Sergi R. Hildebrandt

A regular static, spherically symmetric electrically charged black hole solution of general relativity coupled to a new theory for nonlinear electrodynamics is presented. This theory has the interesting feature that, at far distances from…

High Energy Physics - Theory · Physics 2021-08-27 Mohammad Bagher Jahani Poshteh , Nematollah Riazi

We outline the class of globally regular spherically symmetric solutions to the minimally coupled GR equations asymptotically de Sitter in the origin and asymptotically Schwarzschild at infinity. A source term connects smoothly de Sitter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Irina Dymnikova

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
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