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Cotton theory (CT) introduces a higher derivative extension of General Relativity (GR) characterized by third-rank field equations. Recently, key distinctions between CT and GR concerning wave and vacuum solutions have been highlighted in…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Serkan Doruk Hazinedar , Yaghoub Heydarzade , Maryam Ranjbar

Usual gauge fixing procedures in classical general relativity rely on the existence of solutions of a second order wave equation. We propose to use the equation to relate asymptotic symmetries at infinity to asymptotic symmetries of a black…

High Energy Physics - Theory · Physics 2017-04-19 Bruno Carneiro da Cunha , Filipe Rudrigues

In this work, we study the gravitational collapse procedure in generalized Vaidya spacetime with Bose-Einstein condensate dark matter density profile. We use the generalized Vaidya metric to simulate the spacetime of a big star and…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Prabir Rudra

We investigate the static spherically symmetric vacuum solutions in a generalized bumblebee gravity model characterized by non-minimal couplings $B^2 R$ and $B^\mu B^\nu R_{\mu\nu}$. We demonstrate that the variation of the action and the…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Jie Zhu , Hao Li

We consider two-dimensional dilaton-gravity theories with a generic exponential potential for the dilaton, and obtain the most general black hole solutions in the Schwarzshild form. We discuss their geometrical and thermodynamical…

High Energy Physics - Theory · Physics 2009-10-28 S. Mignemi

We aim at finding static, spherically symmetric, vacuum solutions of a gauge invariant theory of gravity over Weyl integrable geometry spaces. It arises that vacuum wormholes of pure geometric nature are solutions of this theory. This means…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Israel Quiros

The gauge symmetry of classical general relativity under space-time diffeomorphisms implies that any path integral quantization which can be interpreted as a sum over space-time geometries, gives rise to a formal invariant of smooth…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hendryk Pfeiffer

In this paper we explore the physical consequences of assuming Weyl invariance of the laws of gravity from the classical standpoint exclusively. Actual Weyl invariance requires to replace the underlying Riemannian geometrical structure of…

General Relativity and Quantum Cosmology · Physics 2020-04-20 Israel Quiros

We consider generic linear perturbations of a nonbidiagonal class of static black-hole solutions in massive (bi)gravity. We show that the quasinormal spectrum of these solutions coincides with that of a Schwarzschild black hole in general…

General Relativity and Quantum Cosmology · Physics 2016-09-19 Eugeny Babichev , Richard Brito , Paolo Pani

We analyze gravitational theories with quadratic curvature terms, including the case of conformally invariant Weyl gravity, motivated by the intention to find a renormalizable theory of gravity in the ultraviolet region, yet yielding…

High Energy Physics - Theory · Physics 2014-06-18 Josef Klusoň , Markku Oksanen , Anca Tureanu

The symmetries of generic 2D dilaton models of gravity with (and without) matter are studied in some detail. It is shown that $\delta_2$, one of the symmetries of the matterless models, can be generalized to the case where matter fields of…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Miguel Navarro

Diffeomorphisms and an internal symmetry (e.g., local Lorentz invariance) are typically regarded as the symmetries of any geometrical gravity theory, including general relativity. In the first-order formalism, diffeomorphisms can be thought…

General Relativity and Quantum Cosmology · Physics 2019-01-29 Cristóbal Corral , Yuri Bonder

The standard theory of General Relativity (GR) currently provides the most reliable description of all gravitational events in Astrophysics and Cosmology. However, current Astronomy allows measurements that contradict the predictions of GR…

General Relativity and Quantum Cosmology · Physics 2024-02-19 José Luis Hernández-Pastora

The wormhole solution in dRGT massive gravity is examined in this paper in the background of non-commutative geometry. In order to derive the wormhole model, along with the zero tidal force, we assume that the matter distribution is given…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Piyali Bhar , Allah Ditta , Abdelghani Errehymy

The field equations for static EGBM gravity are obtained and transformed to an equivalent form through a coordinate redefinition. A form for one of the metric potentials that generalises the spheroidal ansatz of Vaidya--Tikekar superdense…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Sudan Hansraj

An analysis of all known spherically symmetric solutions to the field equations originating from the Riemann tensor quadratic curvature Lagrangian is presented. A new exact solution is found for the field equation originating from the…

General Relativity and Quantum Cosmology · Physics 2013-12-31 Bruce Herold Dean

As massive gravity and its extensions offer physically well-defined gravitational theories with a nonzero graviton mass, we present a new extension of the de Rham-Gabadadze-Tolley (dRGT)massive gravity, which is tachyonic massive gravity…

General Relativity and Quantum Cosmology · Physics 2022-03-03 Amin Rezaei Akbarieh , Sobhan Kazempour , Lijing Shao

We evaluate the phase diagram of quantum gravity within a fully diffeomorphism-invariant renormalisation group approach. The construction is based on the geometrical or Vilkovisky-DeWitt effective action. We also resolve the difference…

High Energy Physics - Theory · Physics 2012-03-20 Ivan Donkin , Jan M. Pawlowski

With the successes of $f(R)$ theory as a neutral modification of Einstein's general relativity (GR), we continue our study in this field and attempt to find general %natural { neutral} and charged black hole (BH) solutions. In the previous…

General Relativity and Quantum Cosmology · Physics 2021-12-21 G. G. L. Nashed , Shin'ichi Nojiri

We consider the $D\to 3$ limit of Gauss-Bonnet gravity. We find two distinct but similar versions of the theory and obtain black hole solutions for each. For one theory the solution is an interesting generalization of the BTZ black hole…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Robie A. Hennigar , David Kubiznak , Robert B. Mann , Christopher Pollack