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A general dilaton gravity theory in 1+1 spacetime dimensions with a cosmological constant $\lambda$ and a new dimensionless parameter $\omega$, contains as special cases the constant curvature theory of Teitelboim and Jackiw, the theory…

General Relativity and Quantum Cosmology · Physics 2014-11-17 José P. S. Lemos , Paulo M. Sá

One could begin a study like the present one by simply postulating that our universe is four-dimensional. There are ample reasons for doing this. Experience, observation and experiment all point to the fact that we inhabit a…

General Relativity and Quantum Cosmology · Physics 2015-02-10 Stan Gudder

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

The dimensional reduction of black hole solutions in four-dimensional (4D) general relativity is performed and new 3D black hole solutions are obtained. Considering a 4D spacetime with one spacelike Killing vector, it is possible to split…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Vilson T. Zanchin , Antares Kleber , Jose' P. S. Lemos

Small black holes are a powerful tool to explore infinite distances in moduli spaces. However, we show that in 4d theories with a scalar potential growing fast enough at infinity, it is energetically too costly for scalars to diverge at the…

High Energy Physics - Theory · Physics 2023-07-05 Roberta Angius , Jesus Huertas , Angel M. Uranga

We study the head-on collision of two equal-mass momentarily stationary black holes, using black hole perturbation theory up to second order. Compared to first-order results, this significantly improves agreement with numerically computed…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

We study the general black hole solutions of dimensionally reduced five-dimensional Einstein-Gauss-Bonnet gravity. The reduced theory contains gravity, electromagnetism and a scalar field, with nonlinear corrections to the action and…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Z. Belkhadria , S. Mignemi , F. Paderi

We present a conservative approach to the black hole singularity problem that remains within the framework of classical General Relativity (GR) supplemented by semiclassical quantum field theory (QFT). Our construction replaces the singular…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Nikhil Bachhawat

A straightforward generalization of the celebrated uniqueness theorem to dimensions greater than four was recently found to fail in two pure gravity cases - the 5d rotating black ring and the black string on R^{3,1} * S^1. Two amendments…

High Energy Physics - Theory · Physics 2007-05-23 Barak Kol

We present here a brief review and discussion on recent developments in the theory of spacetime singularities. After mentioning some key motivations on the main ideas and concepts involved, we take the approach that the singularities will…

General Relativity and Quantum Cosmology · Physics 2010-10-13 Pankaj S. Joshi

The main objective of this work is to study in some detail the Randall-Sundrum gravity under the gravitational decoupling through the minimal geometric deformation approach (MGD-decoupling). We show a family of new black hole solutions as…

General Relativity and Quantum Cosmology · Physics 2020-08-21 P. León , A. Sotomayor

This work is originally a Cambridge Part III essay. Throughout the paper, some aspects of General Relativity in higher dimensions are reviewed. The work presented draws a path within the wide landscape of higher dimensional black holes…

General Relativity and Quantum Cosmology · Physics 2018-08-14 David Pereñiguez

We find a simple modification of the longitudinal mode in General Relativity which incorporates the idea of limiting curvature. In this case the singularities in contracting Friedmann and Kasner universes are avoided, and instead, the…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Ali H. Chamseddine , Viatcheslav Mukhanov

The perturbation theory plays an important role in studying structure formation in cosmology and post-Newtonian physics, but not all phenomena can be described by the linear perturbation theory. Thus, It is necessary to study exact…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Alireza Allahyari , Javad T. Firouzjaee , Reza Mansouri

Motivated by quantum mechanical considerations we earlier suggested an alternative action for discretised quantum gravity which has a dimension of length. It is the so called "linear" action. The proposed action is a "square root" of the…

High Energy Physics - Theory · Physics 2017-05-11 George Savvidy

These are the lecture notes for an introductory course on black holes and some aspects of their interaction with the classical and quantum world. The focus is on phenomena of "fundamental physics" in the immediate surroundings of the black…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Roberto Emparan , Elvis Barakovic , Roukaya Dekhil , Filip Rescic

In this work a general formalism for the accretion of dark energy onto astronomical objects, black holes and wormholes, is considered. It is shown that in models with four dimensions or more, any singularity with a divergence in the Hubble…

Astrophysics · Physics 2009-06-23 Prado Martin-Moruno

Behaviour of singularities of the rotating black holes under an arbitrary boost is considered on the basis of a complex representation of the Kerr theorem. We give a simple algorithm allowing to get explicit expressions for the metric and…

High Energy Physics - Theory · Physics 2011-04-15 Alexander Burinskii , Giulio Magli

Repulsive singularities (repulsons) in extended supergravity theories are investigated. These repulsive singularities are related to attractive singularities (black holes) in moduli space of extended supergravity vacua. In order to study…

High Energy Physics - Theory · Physics 2009-10-31 Ingo Gaida

For more than 80 years theoretical physicists have been trying to develop a theory of quantum gravity which would successfully combine the tenets of Einstein's theory of general relativity (GR) together with those of quantum field theory.…

General Relativity and Quantum Cosmology · Physics 2019-03-20 Andreas G. A. Pithis