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We construct quartic quasitopological gravity, a theory of gravity containing terms quartic in the curvature that yields second order differential equations in the spherically symmetric case. Up to a term proportional to the quartic term in…

高能物理 - 理论 · 物理学 2015-05-30 M. H. Dehghani , A. Bazrafshan , R. B. Mann , M. R. Mehdizadeh , M. Ghanaatian , M. H. Vahidinia

A number of recent observations have suggested that the Einstein's theory of general relativity may not be the ultimate theory of gravity. The f(R) gravity model with R being the scalar curvature turns out to be one of the best bet to…

广义相对论与量子宇宙学 · 物理学 2019-11-26 Surajit Kalita , Banibrata Mukhopadhyay

One-loop renormalised quantum effective action for gravity contains quadratic in curvature terms. We have found an approximate analytic black hole solution in quadratic gravity by keeping only the radial spherically symmetric fluctuations…

广义相对论与量子宇宙学 · 物理学 2021-06-23 Yunho Kim , Archil Kobakhidze

This note includes results of a study of stationary spherically symmetric ``dark holes'', objects merging central black holes and peripheral scalar graviton dark haloes arising in the framework of the modified gravity -- the quartet-metric,…

广义相对论与量子宇宙学 · 物理学 2025-07-15 Yu. F. Pirogov , O. V. Zenin

In certain extensions of General Relativity, wormholes generated by spherically symmetric electric fields can resolve black hole singularities without necessarily removing curvature divergences. This is shown by studying geodesic…

高能物理 - 理论 · 物理学 2016-04-20 Gonzalo J. Olmo , D. Rubiera-Garcia , A. Sanchez-Puente

We prove that the simplest gravitational symmetry reduced models describing cosmology and black holes mechanics are invariant under the Schr\"{o}dinger group. We consider the flat FRW cosmology filled with a massless scalar field and the…

广义相对论与量子宇宙学 · 物理学 2025-01-08 Jibril Ben Achour , Etera R. Livine , Daniele Oriti , Goffredo Piani

In this paper we describe a model of a four-dimensional spherically symmetric black hole in a limiting curvature theory of gravity. In this theory the Einstein-Hilbert action is modified by adding to the action terms providing inequality…

广义相对论与量子宇宙学 · 物理学 2022-02-02 Valeri P. Frolov , Andrei Zelnikov

In this letter, we derive the singular condition for black holes and demonstrate the potential resolution of the Schwarzschild black hole singularity in general relativity using non-perturbative $\alpha^{\prime}$ corrections of string…

高能物理 - 理论 · 物理学 2026-02-10 Houwen Wu , Zihan Yan , Shuxuan Ying

We consider the perturbation of the Schwarzschild solution by the perimeter action. The asymptotic behaviour of the solution at infinity and at the horizon are calculated and analysed in the first approximation. The perturbation is…

广义相对论与量子宇宙学 · 物理学 2021-05-19 George Savvidy

We derive the master equations governing axial and polar gravitational perturbations of a generic static and spherically symmetric black hole spacetime within the framework of the revised Deser--Woodard nonlocal gravity theory. We then…

广义相对论与量子宇宙学 · 物理学 2026-01-19 Rocco D'Agostino , Vittorio De Falco

Vacuum spherically symmetric Einstein gravity in $N\ge 4$ dimensions can be cast in a two-dimensional conformal nonlinear sigma model form by first integrating on the $(N-2)$-dimensional (hyper)sphere and then performing a canonical…

高能物理 - 理论 · 物理学 2010-11-19 Marco Cavaglia , Carlo Ungarelli

The Janis-Newman-Winicour metric is a solution of Einstein's gravity minimally coupled to a real massless scalar field. The $\gamma$-metric is instead a vacuum solution of Einstein's gravity. These spacetimes have no horizon and possess a…

广义相对论与量子宇宙学 · 物理学 2018-03-08 Hrishikesh Chakrabarty , Carlos A. Benavides-Gallego , Cosimo Bambi , Leonardo Modesto

The metric of a spacetime can be greatly simplified if the spacetime is circular. We prove that in generic effective theories of gravity, the spacetime of a stationary, axisymmetric and asymptotically flat solution must be circular if the…

广义相对论与量子宇宙学 · 物理学 2021-06-22 Yiqi Xie , Jun Zhang , Hector O. Silva , Claudia de Rham , Helvi Witek , Nicolas Yunes

The static, spherical solutions that exhibit an antisymmetry between the temporal and radial coordinates in $f(R)$ gravity theories are presented. I present the constraint for this antisymmetry and show that pure $R^2$ models produce these…

广义相对论与量子宇宙学 · 物理学 2023-03-28 Garrett Gould

It is a common belief that a theory of quantum gravity should ultimately cure curvature singularities which are inevitable within General Relativity, and plague for instance the Schwarzschild and Kerr metrics, usually considered as…

广义相对论与量子宇宙学 · 物理学 2025-01-31 Marco Calzà , Davide Pedrotti , Sunny Vagnozzi

We present a new solution in Einstein's General Relativity representing a Schwarzschild black hole immersed in a rotating universe. Such a solution is constructed analytically by means of the last unexplored Lie point symmetry of the Ernst…

广义相对论与量子宇宙学 · 物理学 2024-02-08 Marco Astorino , Riccardo Martelli , Adriano Viganò

In symmetric teleparallel gravities, where the independent connection is characterized by nonmetricity while curvature and torsion are zero, it is possible to find a coordinate system whereby the connection vanishes globally and covariant…

广义相对论与量子宇宙学 · 物理学 2022-11-01 Sebastian Bahamonde , Laur Järv

The Schwarzschild solution has played a fundamental conceptual role in general relativity, and beyond, for instance, regarding event horizons, spacetime singularities and aspects of quantum field theory in curved spacetimes. However, one…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Rosa Doran , Francisco S. N. Lobo , Paulo Crawford

In the context of an extended General Relativity theory with boundary terms included, we introduce a new nonlinear quantum algebra involving a quantum differential operator, with the aim to calculate quantum geometric alterations when a…

广义相对论与量子宇宙学 · 物理学 2024-07-08 Mauricio Bellini , Juan Ignacio Musmarra , Daniela Magos

We review the constraints modified theories of gravity must satisfy to be compatible with the spherically symmetric black hole solutions of semiclassical gravity that describe the formation of an apparent horizon in finite time of a distant…

广义相对论与量子宇宙学 · 物理学 2023-01-30 Sebastian Murk