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We present spherically symmetric solutions to Einstein's equations which are equivalent to canonical Schwarzschild and Reissner-Nordstrom black holes on the exterior, but with singular (Planck-density) shells at their respective event and…

High Energy Physics - Theory · Physics 2019-02-27 David E. Kaplan , Surjeet Rajendran

We present an effective theory to describe the quantization of spherically symmetric vacuum in loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation of the Hamiltonian of general relativity,…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Asier Alonso-Bardaji , David Brizuela , Raül Vera

We construct exact black hole solutions free of curvature singularities, sourced by dark matter halos described by galactic density profiles. Regularity of the geometry is ensured by adopting the relation $P_{r}=-\rho$ between radial…

General Relativity and Quantum Cosmology · Physics 2026-02-09 R. A. Konoplya , A. Zhidenko

We discuss semiclassical states in quantum gravity corresponding to Schwarzschild as well as Reissner Nordstr\"om black holes. We show that reduced quantisation of these models is equivalent to Wheeler-DeWitt quantisation with a particular…

General Relativity and Quantum Cosmology · Physics 2009-10-28 T. Brotz , C. Kiefer

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.…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

We derive and investigate the physical properties of asymptotically flat noncommutative regular charged black holes with a Gaussian mass density distribution and a Weibull electric charge density distribution. Both distributions replace the…

High Energy Physics - Theory · Physics 2017-10-19 Mustapha Azreg-Aïnou

The semiclassical geometry of charged black holes is studied in the context of a two-dimensional dilaton gravity model where effects due to pair-creation of charged particles can be included in a systematic way. The classical mass-inflation…

High Energy Physics - Theory · Physics 2008-11-26 Andrei V. Frolov , Kristjan R. Kristjansson , Larus Thorlacius

Recently, in [arXiv:2403.04827], it was demonstrated that various regular black hole metrics can be derived within a theory featuring an infinite number of higher curvature corrections to General Relativity. Moreover, truncating this…

General Relativity and Quantum Cosmology · Physics 2024-08-16 R. A. Konoplya , A. Zhidenko

We adopt an effective action inspired by asymptotically safe gravity, in which the effective gravitational constant is parametrized as $G(\epsilon) = G_{N} /[1 + \tilde{\omega} (G_{N}^{2} \epsilon)^{\alpha}]$, where $G_{N}$ and $\epsilon$…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Tomohiro Harada , Chiang-Mei Chen , Rituparna Mandal

We construct a class of regular black hole solutions of the Fan-Wang type within quasi-topological gravity (QTG) in arbitrary spacetime dimensions greater than four. In contrast to the original Fan-Wang solution, which was obtained in…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Ren Tsuda , Ryotaku Suzuki , Shinya Tomizawa

We study black hole solutions of Einstein gravity coupled to a specific global symmetry breaking Goldstone model described by an O(3) isovector scalar field in four spacetime dimensions. Our configurations are static and spherically…

General Relativity and Quantum Cosmology · Physics 2011-09-07 Eugen Radu , Ya. Shnir , D. H. Tchrakian

We solve Einstein's constraint equations in the conformal thin-sandwich decomposition to model thin shells of non-interacting particles in circular orbit about a non-rotating black hole. We use these simple models to explore the effects of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Keith Matera , Thomas W. Baumgarte , Eric Gourgoulhon

General relativity admits a plethora of exact compact object solutions. The augmentation of Einstein's action with non-minimal coupling terms leads to modified theories with rich structure, which, in turn, provide non-trivial solutions with…

General Relativity and Quantum Cosmology · Physics 2022-05-31 Nikos Chatzifotis , Christoforos Vlachos , Kyriakos Destounis , Eleftherios Papantonopoulos

We investigate the perturbation of the scalar field as well as the electromagnetic field over a sort of regular black holes which are characterized by the sub-Planckian curvature and the Minkowskian core. Specifically, we compute the…

General Relativity and Quantum Cosmology · Physics 2024-11-06 Chen Tang , Yi Ling , Qing-Quan Jiang , Guo-Ping Li

We study the quantum modifications of classical, spherically symmetric Schwarzschild (Anti-) de Sitter black holes within Quantum Einstein Gravity. The quantum effects are incorporated through the running coupling constants $G_k$ and…

High Energy Physics - Theory · Physics 2015-06-16 Benjamin Koch , Frank Saueressig

We model spherically symmetric black holes within the group field theory formalism for quantum gravity via generalised condensate states, involving sums over arbitrarily refined graphs (dual to 3d triangulations). The construction relies…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Daniele Oriti , Daniele Pranzetti , Lorenzo Sindoni

In the previous paper (Li, X. Z., Xi, P., Zhai, X. H.: Phys. Lett. B{\bf666}, 125-130 (2008)), we show the solutions of Einstein equations with static spherically-symmetric quintessence-like matter surrounding a global monopole.…

General Relativity and Quantum Cosmology · Physics 2009-06-04 Ping Xi

Regular and spherically symmetric black holes that solve the singularity problems of the Schwarzschild solution are phenomenologically viable at large distance but usually suffer from the Cauchy horizon instability. To overcome this…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Marco Calzá , Massimiliano Rinaldi , Sergio Zerbini

In this thesis we present partial progress towards the dynamic formation of black holes in the four-dimensional Einstein vacuum equations from Christodoulou's short-pulse ansatz. We identify natural scaling in a putative solution metric and…

Analysis of PDEs · Mathematics 2020-03-16 Ethan Yale Jaffe

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