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In our recent work [Van de Moortel, The coexistence of null and spacelike singularities inside spherically symmetric black holes], we analyzed the transition between null and spacelike singularities in spherically symmetric dynamical black…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Maxime Van de Moortel

In Einstein's theory of general relativity the vacuum solution yields a blackhole with a curvature singularity, where there exists a point-like source with a Dirac delta distribution which is introduced as a boundary condition in the static…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Luca Buoninfante , Alexey S. Koshelev , Gaetano Lambiase , João Marto , Anupam Mazumdar

Four-dimensional cylindrically symmetric spacetimes with homothetic self-similarity are studied in the context of Einstein's Theory of Gravity, and a class of exact solutions to the Einstein-massless scalar field equations is found. Their…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang

The classical Lagrangian of the Standard Model enjoys the symmetry of the full conformal group if the mass of the Higgs boson is put to zero. This is a hint that conformal symmetry may play a fundamental role in the ultimate theory…

High Energy Physics - Theory · Physics 2023-05-04 Mikail Shaposhnikov , Anna Tokareva

We explore the quantum nature of black holes by introducing an effective framework that takes into account deviations from the classical results. The approach is based on introducing quantum corrections to the classical Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Emanuele Binetti , Manuel Del Piano , Stefan Hohenegger , Franco Pezzella , Francesco Sannino

In any quantum theory of gravity, it is of the utmost importance to recover the limit of quantum theory in an external spacetime. In quantum geometrodynamics (quantization of general relativity in the Schr\"odinger picture), this leads in…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Claus Kiefer , Branislav Nikolic

In the framework of quasi-topological (QT) gravity, we propose a novel model which is characterized by a bounce of the spacetime such that the singularity in standard general relativity can be avoided in both cosmological and black hole…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Yi Ling , Zhangping Yu

Einsteinian cubic gravity is a higher-order gravitational theory in which the linearized field equations of motion match Einstein's equations on a maximally symmetric background. This theory allows the existence of a static and spherically…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Antonio De Felice , Shinji Tsujikawa

A simple modification to Einstein's theory of gravity in terms of a non-Riemannian connection is examined. A new tensor-variational approach yields field equations that possess a covariance similar to the gauge covariance of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Robin W Tucker , Charles Wang

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

We study classical solutions in the Weyl-transverse (WTDiff) gravity. The WTDiff gravity is invariant under both the local Weyl (conformal) transformation and the volume preserving diffeormorphisms (transverse diffeomorphisms) and is known…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Ichiro Oda

We construct a Weyl-Einsteinian-Cubic Gravity (ECG) as a cubic gauge theory of gravity via abelian gauge and properly tuned compensating real scalar fields. The model is free from any dimensionful parameters. The bare ECG emerges as the…

High Energy Physics - Theory · Physics 2025-09-05 Suat Dengiz

Using effective field theory techniques, we compute quantum corrections to spherically symmetric solutions of Einstein's gravity and focus in particular on the Schwarzschild black hole. Quantum modifications are covariantly encoded in a…

High Energy Physics - Theory · Physics 2017-05-24 Xavier Calmet , Basem Kamal El-Menoufi

In a previous work, it was shown that all Ricci-flat spacetimes are exact solutions for a large class of non-local gravitational theories. Here we prove that, for a subclass of non-local theories, the Schwarzschild singularity is stable…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Gianluca Calcagni , Leonardo Modesto

Since all Einstein spacetimes are vacuum solutions to quadratic gravity in four dimensions, in this paper we study various aspects of non-Einstein vacuum solutions to this theory. Most such known solutions are of traceless Ricci and Petrov…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Vojtech Pravda , Alena Pravdova , Jiri Podolsky , Robert Svarc

Singularity theorems demonstrate the inevitable breakdown of the concept of continuous, classical spacetime under highly general conditions. Quantum gravity is expected to intervene to avoid singularities and models so far hint towards…

General Relativity and Quantum Cosmology · Physics 2024-08-30 Raúl Carballo-Rubio , Stefano Liberati , Vania Vellucci

Through two exact solution families to the Einstein equation and the one-to-one correspondence between their free parameters, we show that the ensemble of collapsars with only close-to-implementing horizon in the Schwarzschild time…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Ding-fang Zeng

We investigate the gravitational collapse of a massive scalar field in a conformally flat, spherically symmetric spacetime within general relativity. The collapsing matter distribution is modeled using a minimally coupled homogeneous scalar…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Mohamed Aarif A , Soumya Chakrabarti

We study conformal gravity as an alternative theory of gravitation. For conformal gravity to be phenomenologically viable requires that the conformal symmetry is not manifest at the energy scales of the other known physical forces. Hence we…

High Energy Physics - Theory · Physics 2008-11-26 Jihene Bouchami , M. B. Paranjape

We show a stability result for the Schwarzschild singularity (inside the black hole region) for the Einstein vacuum equations. The result is proven in the class of polarized axial symmetry, under perturbations of the Schwarzschild data…

Analysis of PDEs · Mathematics 2020-05-07 Spyros Alexakis , Grigorios Fournodavlos