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For models of dilaton-gravity with a possible exponential potential, such as the tensor-scalar sector of IIA supergravity, we show how cosmological solutions correspond to trajectories in a 2D Milne space (parametrized by the dilaton and…

High Energy Physics - Theory · Physics 2009-11-11 E. A. Bergshoeff , A. Collinucci , D. Roest , J. G. Russo , P. K. Townsend

We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by…

High Energy Physics - Theory · Physics 2010-11-19 S. Mignemi , D. L. Wiltshire

In the absence of a general no-boundary proposal for open creation, the complex constrained instanton is used as the seed for the open pair creations of black holes in the Kerr-Newman-anti-de Sitter family. The relative probability of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Wu Zhong Chao

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

We investigate oscillating instanton solutions of a self-gravitating scalar field between degenerate vacua. We show that there exist O(4)-symmetric oscillating solutions in a de Sitter background. The geometry of this solution is finite and…

High Energy Physics - Theory · Physics 2013-05-30 Bum-Hoon Lee , Chul H. Lee , Wonwoo Lee , Changheon Oh

We discuss the quantum creation scenario of a Kerr-de Sitter black hole in all dimensions. We show that its relative creation probability is the exponential to the entropy of the black hole, using a topological argument. The action of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zhong Chao Wu

In the context of $f(R)$ theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions. Several aspects of constant curvature solutions with and without electric charge are discussed. We also…

General Relativity and Quantum Cosmology · Physics 2010-01-15 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

A broad class of higher dimensional instanton solutions are found for a theory which contains gravity, a scalar field and antisymmetric tensor fields of arbitrary rank. The metric used, a warp product of an arbitrary number of any compact…

High Energy Physics - Theory · Physics 2010-02-03 J. A. Gray , E. J. Copeland

We follow a constructive approach and find higher-dimensional black holes with Ricci nilsoliton horizons. The spacetimes are solutions to Einstein's equation with a negative cosmological constant and generalises therefore, anti-de Sitter…

High Energy Physics - Theory · Physics 2014-01-06 Sigbjorn Hervik

We construct asymptotically anti-deSitter (and deSitter) black hole solutions of Einstein-Born-Infeld theory in arbitrary dimension. We critically analyse their geometries and discuss their thermodynamic properties.

High Energy Physics - Theory · Physics 2015-06-26 Tanay Kr. Dey

An exact gravitational instanton solution on a vacuum Kerr-like warped spacetime in conformal dilaton gravity is found. Remarkably, the metric solution results from a first-order PDE, allowing the connection with self-duality. The singular…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Reinoud Jan Slagter

Exact black hole solutions in the Einstein-Maxwell-scalar theory are constructed. They are the extensions of dilaton black holes in de Sitter or anti de Sitter universe. As a result, except for a scalar potential, a coupling function…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Shuang Yu , Jianhui Qiu , Changjun Gao

Classical solutions describing charged dilaton black holes accelerating in a background magnetic field have recently been found. They include the Ernst metric of the Einstein-Maxwell theory as a special case. We study the extremal limit of…

High Energy Physics - Theory · Physics 2013-11-13 Fay Dowker , Jerome P. Gauntlett , Steven B. Giddings , Gary T. Horowitz

The probability for quantum creation of an inflationary universe with a pair of black holes is computed in a modified gravitational theory. Considering a gravitational action which includes a cosmological constant ($\Lambda$) in addition to…

High Energy Physics - Theory · Physics 2008-11-26 B. C. Paul , Dilip Paul

We present and discuss BPS instanton solutions that appear in type II string theory compactifications on Calabi-Yau threefolds. From an effective action point of view these arise as finite action solutions of the Euclidean equations of…

High Energy Physics - Theory · Physics 2008-11-26 Mathijs de Vroome , Stefan Vandoren

We study the relationship between instanton counting in N=4 Yang-Mills theory on a generic four-dimensional toric orbifold and the semi-classical expansion of q-deformed Yang-Mills theory on the blowups of the minimal resolution of the…

High Energy Physics - Theory · Physics 2008-11-26 Luca Griguolo , Domenico Seminara , Richard J. Szabo , Alessandro Tanzini

It is shown that in the instanton approximation the rate of creation of black holes is always enhanced by a factor of the exponential of the black hole entropy relative to the rate of creation of compact matter distributions (stars). This…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. David Brown

The constrained instanton method is used to study quantum creation of a vacuum or charged topological black hole. At the $WKB$ level, the relative creation probability is the exponential of a quarter sum of the horizon areas associated with…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Zhong Chao Wu

We find an exact black hole solution with a minimally coupled scalar field. The corresponding spacetime has two horizons and one of the them is the black hole event horizon and the other is the cosmic horizon. In this sense, the solution is…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Shuang Yu , Changjun Gao

Pseudo-Newtonian gravitational potential describing the gravitational field of static and spherically symmetric black holes in the universe with a repulsive cosmological constant is introduced. In order to demonstrate the accuracy of the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Zdenek Stuchlik , Jiri Kovar