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Modified Einstein's equations implementing both an energy-dependent Newtonian and cosmological constant can be obtained via a modified action characterised by a non-minimal gravity-matter coupling. We show how different dynamics for the…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Antonio Panassiti

The construction of black hole spacetimes that are regular (singularity-free) is plagued by the "mass inflation" instability, a classical perturbation instability induced by the surface gravity at the inner horizon and characterized by…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Tyler McMaken

According to general relativity, black holes are incomplete, which prevents developing a complete physical description of their dynamical formation and evolution once quantum effects are taken into account. Theories beyond general…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Raúl Carballo-Rubio

We survey results about exact cylindrically symmetric models of gravitational collapse in General Relativity. We focus on models which result from the matching of two spacetimes having collapsing interiors which develop trapped surfaces and…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Filipe C. Mena

A large class of stationary, non-rotating black hole metrics is proposed, in which the interior is regular with a core consisting of a condensate of Higgs and $Z$ bosons generated from the nuclear binding energy of the initial H atoms.…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Theo M. Nieuwenhuizen

To have the correct picture of a black hole as a whole it is of crucial importance to understand its interior. The singularities that lurk inside the horizon of the usual Kerr-Newman family of black hole solutions signal an endpoint to the…

General Relativity and Quantum Cosmology · Physics 2011-06-13 José P. S. Lemos , Vilson T. Zanchin

The paper is a brief review on the existence and basic properties of static, spherically symmetric regular black hole solutions of general relativity, where the source of gravity is represented by nonlinear electromagnetic fields with the…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Kirill A. Bronnikov

We review the black hole solutions of the ghost-free massive gravity theory and its bimetric extension and outline the main results on the stability of these solutions against small perturbations. Massive (bi)-gravity accommodates exact…

General Relativity and Quantum Cosmology · Physics 2015-07-28 Eugeny Babichev , Richard Brito

This paper presents a concise derivation of a new set of solutions for the interior structure of accreting, rotating black holes. The solutions are conformally stationary, axisymmetric, and conformally separable. Hyper-relativistic…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Andrew J. S. Hamilton , Gavin Polhemus

We present some new aspects of Kiselev black hole and then study the null and timelike thin shell collapse in this spacetime. For the latter, we show that Kiselev black hole can be matched to de Sitter core with a thin timelike dust shell…

General Relativity and Quantum Cosmology · Physics 2021-06-10 R. Saadati , F. Shojai

A common feature of regular black hole spacetimes is the presence of an inner Cauchy horizon. The analogy to the Reissner-Nordstr\"om solution then suggests that these geometries suffer from a mass-inflation effect, rendering the Cauchy…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Alfio Bonanno , Antonio Panassiti , Frank Saueressig

In a previous paper, we studied the interior solution of a collapsing body in a non-local theory of gravity super-renormalizable at the quantum level. We found that the classical singularity is replaced by a bounce, after which the body…

General Relativity and Quantum Cosmology · Physics 2016-04-28 Cosimo Bambi , Daniele Malafarina , Leonardo Modesto

It is common knowledge that black holes necessarily contain a region where general relativity breaks down, due to the inevitable formation of either a curvature singularity or a Cauchy horizon. In this work we challenge this view by…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Francesco Di Filippo

We study a higher order conformally coupled scalar tensor theory endowed with a covariant geometric constraint relating the scalar curvature with the Gauss-Bonnet scalar. It is a particular Horndeski theory including a canonical kinetic…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine , Nicolas Lecoeur

Multi-black hole solutions play a relevant role both from the theoretical and the phenomenological point of view. In this Thesis, we construct some regular multi-black hole spacetimes in pure Einstein's General Relativity with the aid of…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Adriano Viganò

We develop a class of regular black holes by prescribing finite curvature invariants and reconstructing the corresponding spacetime geometry. Two distinct approaches are employed: one based on the Ricci scalar and the other on the Weyl…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Chen Lan , Zhen-Xiao Zhang , Hao Yang

The regularity of black hole solutions, embedded in an expanding Universe, is studied in a subclass of Horndeski theories, namely the sum of the simplest quadratic, cubic and quintic actions. We find that in presence of a time derivative of…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Eugeny Babichev , Gilles Esposito-Farèse , Ignacy Sawicki , Leonardo G. Trombetta

We study some general properties of two black hole solutions in Einstein's conformal gravity. Both solutions can be obtained from the Kerr metric with a suitable conformal rescaling, which leads, respectively, to a regular and a singular…

General Relativity and Quantum Cosmology · Physics 2018-06-25 Qiqi Zhang , Leonardo Modesto , Cosimo Bambi

There is growing evidence that Ho\v{r}ava gravity may be a viable quantum theory of gravity. It is thus legitimate to expect that gravitational collapse in the full, non-projectable version of the theory should result in geometries that are…

General Relativity and Quantum Cosmology · Physics 2023-07-11 Jacopo Mazza , Stefano Liberati

We consider gravitational collapse of a sphere of a fluid with torsion generated by spin, which forms a black hole. We use the Tolman metric and the Einstein$-$Cartan field equations with a relativistic spin fluid as a source. We show that…

General Relativity and Quantum Cosmology · Physics 2023-09-22 Nikodem Popławski
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