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We show that in imaginary time quantum metric fluctuations of empty space form a self-consistent de Sitter gravitational instanton that can be thought of as describing tunneling from "nothing" into de Sitter space of real time (no…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Leonid Marochnik

In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal theory which is simply the Einstein-Proca…

High Energy Physics - Theory · Physics 2018-03-14 Zhong-Ying Fan

In this paper, we present a new solution of the vacuum Einstein equations in five dimensions which is a static black hole with hyperscaling violation and with a three-dimensional horizon modeled by one the eight Thurston geometries, namely…

High Energy Physics - Theory · Physics 2015-04-29 Mokhtar Hassaine

Regular black holes are imagined as solutions to Einstein's field equations, with no singularities, albeit characterized by the presence of an internal structure. With the intention not to use non-linear electrodynamics, we here propose to…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Seyed Naseh Sajadi , Supakchai Ponglertsakul , Orlando Luongo

We consider the possibility of a past and future eternal universe, constructing geodesically complete inflating, loitering, and bouncing spacetimes. We identify the constraints energy conditions in General Relativity place on the building…

High Energy Physics - Theory · Physics 2025-08-25 Damien A. Easson , Joseph E. Lesnefsky

Models of evaporating black holes are constructed using the new solutions of Einstein's equations with perfect fluid in space-times with FLRW asymptotic behaviour derived recently [I. I. Cotaescu, Eur. Phys. J. C (2022) 82:86]. The dynamics…

General Relativity and Quantum Cosmology · Physics 2025-02-18 Ion I. Cotaescu

In a recent paper (Phys. Rev. D95, 103504 (2017)) it is argued that, due to the fluctuations around its mean value, vacuum energy gravitates differently from what previously assumed. As a consequence, the universe would accelerate with a…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Francisco D. Mazzitelli , Leonardo G. Trombetta

We study gravitational and electromagnetic radiation generated by uniformly accelerated charged black holes in anti-de Sitter spacetime. This is described by the C-metric exact solution of the Einstein-Maxwell equations with a negative…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiri Podolsky , Marcello Ortaggio , Pavel Krtous

In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these…

High Energy Physics - Theory · Physics 2008-11-26 Gregory Gabadadze , Yanwen Shang

We derive a Weyl invariant equation for Gravity by gauging the global Weyl invariance of vacuum Einstein equations. The equation is linear in the curvature and a natural generalization of Einstein equations to Weyl geometry. The system has…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Máximo Bañados

We present results of numerical simulations of the formation of black holes from the gravitational collapse of a massless, minimally-coupled scalar field in 2+1 dimensional, axially-symmetric, anti de-Sitter (AdS) spacetime. The geometry…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Frans Pretorius , Matthew W. Choptuik

We derive a unique continuation theorem for the vacuum Einstein equations. Our method of proof utilizes Carleman estimates (most importantly one obtained recently by Ionescu and Klainerman), but also relies strongly on certain geometric…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Spyros Alexakis

The Einstein-Maxwell theory has black hole solutions with electric and magnetic charges. In the standard model for particle physics, dyons with electric and magnetic charges would have been formed in the early universe. We derive the…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Lang Liu , Sang Pyo Kim

The existence of cosmological compact objects with very strong gravity is a prediction of General Relativity and an exact solution of the Einstein equations. These objects are called black holes and recently we had the first observations of…

General Relativity and Quantum Cosmology · Physics 2022-12-09 Ioannis Antoniou

We derive two new equations of quantum gravity and combine them with reinterpretations of previously proposed concepts of dark energy, black holes, inflation, the arrow of time and the energy at which rest-mass first manifests itself into a…

General Relativity and Quantum Cosmology · Physics 2013-02-04 Peter L. Biermann , Benjamin C. Harms

In this work, we study the possibility of generalizing solutions of regular black holes with an electric charge, constructed in general relativity, for the $f(G)$ theory, where $G$ is the Gauss-Bonnet invariant. This type of solution arises…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Marcos V. de S. Silva , Manuel E. Rodrigues

We consider perturbative solutions in Einstein gravity with higher-derivative extensions and address some subtle issues of taking extremal limit. As a concrete new result, we construct the perturbative rotating black hole in five dimensions…

High Energy Physics - Theory · Physics 2023-11-01 Liang Ma , Yue-Zhou Li , H. Lu

Vacuum Einstein theory in three spacetime dimensions is locally trivial, but admits many solutions that are globally different, particularly if there is a negative cosmological constant. The classical theory of such locally "anti-de Sitter"…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dieter Brill

Possible existence of black holes remnants provides a suitable candidates for dark matter. In this paper we study the possibility of existence for such remnants. We consider quantum gravitational induced corrections of black hole's entropy…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Kourosh Nozari , S. Hamid Mehdipour

Local solutions are a vivid and long-living topic in gravitational physics. We consider exact static pseudo-spherically symmetric solutions of semi-classical Einstein's equations in presence of the trace anomaly contribution. We investigate…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Marco Calzá , Alessandro Casalino , Lorenzo Sebastiani
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