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Generalization of a known theorem to generate static, spherically symmetric black-hole solutions in higher dimensional Lovelock gravity is presented. Particular limits, such as Gauss-Bonnet (GB) and/or Einstein-Hilbert (EH) in any dimension…

General Relativity and Quantum Cosmology · Physics 2010-01-06 S. Habib Mazharimousavi , O. Gurtug , M. Halilsoy

In this paper, we introduce the $n$-dimensional Lorentzian wormhole solutions of third order Lovelock gravity. In contrast to Einstein gravity and as in the case of Gauss-Bonnet gravity, we find that the wormhole throat radius, $r_0$, has a…

General Relativity and Quantum Cosmology · Physics 2010-04-22 M. H. Dehghani , Z. Dayyani

This work examines the magnetized black holes of Lovelock gravity in the presence of double-logarithmic electrodynamics. In this context, the Lovelock polynomial is found and the accompanying thermodynamic quantities, such as mass, entropy,…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Askar Ali

We consider a static self-gravitating perfect fluid system in Lovelock gravity theory. For a spacial region on the hypersurface orthogonal to static Killing vector, by the Tolman's law of temperature, the assumption of a fixed total…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Li-Ming Cao , Jianfei Xu

We review what is known about boundary conditions in General Relativity on a spacetime of Euclidean signature. The obvious Dirichlet boundary condition, in which one specifies the boundary geometry, is actually not elliptic and in general…

High Energy Physics - Theory · Physics 2023-07-18 Edward Witten

A general formula for the entropy of stationary black holes in Lovelock gravity theories is obtained by integrating the first law of black hole mechanics, which is derived by Hamiltonian methods. The entropy is not simply one quarter of the…

High Energy Physics - Theory · Physics 2009-10-22 Ted Jacobson , Robert C. Myers

Prominent approaches to quantum gravity struggle when it comes to incorporating a positive cosmological constant in their models. Using quantization of a complex $\mathrm{SL}(2,\mathbb{C})$ Chern-Simons theory we include a cosmological…

High Energy Physics - Theory · Physics 2015-12-09 Hal M. Haggard , Muxin Han , Wojciech Kamiński , Aldo Riello

A finite action principle for Chern-Simons AdS gravity is presented. The construction is carried out in detail first in five dimensions, where the bulk action is given by a particular combination of the Einstein-Hilbert action with negative…

High Energy Physics - Theory · Physics 2010-02-03 P. Mora , R. Olea , R. Troncoso , J. Zanelli

In this paper, we present topological black holes of third order Lovelock gravity in the presence of cosmological constant and nonlinear electromagnetic Born-Infeld field. Depending on the metric parameters, these solutions may be…

High Energy Physics - Theory · Physics 2008-11-26 M. H. Dehghani , N. Alinejadi , S. H. Hendi

This paper introduces novel solutions for inflation and late-time cosmic acceleration within the framework of quantum Lovelock gravity, utilizing Friedmann equations. Furthermore, we demonstrate the hypergeometric states of cosmic…

General Relativity and Quantum Cosmology · Physics 2023-08-23 M. Bousder , A. Riadsolh , M El Belkacemi , H. Ez-Zahraouy

A novel method is proposed to identify vortex boundary and center of rotation based on tubular surfaces of constant stagnation pressure and minimum of the stagnation pressure gradient. The method is derived from Crocco's theorem, which…

Fluid Dynamics · Physics 2024-11-21 Marc Plasseraud , Krishnan Mahesh

We use invariance theory to determine the coefficient $a_{m+1,m}^{d+\delta}$ in the supertrace for the twisted de Rham complex with absolute boundary conditions.

Mathematical Physics · Physics 2015-06-26 Peter Gilkey , Klaus Kirsten , Dmitri Vassilevich

We include a Chern-Simons term in a GL(3,R) gauge formulation of gravity with a cosmological contribution in 2+1 dimension and we explore consistence showing that excitations must be causal and standard topological massive gravity is…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Rolando Gaitan

It is shown that the topological action for gravity in 2n-dimensions can be obtained from the 2n+1-dimensional Chern-Simons gravity genuinely invariant under the Poincare group. The 2n-dimensional topological gravity is described by the…

High Energy Physics - Theory · Physics 2010-01-11 Nelson Merino , Alfredo Perez , Patricio Salgado

In this paper we consider gravitational parity anomaly in three and four dimensions. We start with a re-computation of this anomaly on a 3D manifold without boundaries and with a critical comparison of our results to the previous…

High Energy Physics - Theory · Physics 2018-11-22 Maxim Kurkov , Dmitri Vassilevich

We have numerically calculated topological andnon-topological solitons in two spatial dimensions with Chern-Simons term. Their quantum stability, as well as that of the Maxwell vortex, is analyzed by means of bounce instantons which involve…

High Energy Physics - Theory · Physics 2009-10-22 R. Fiore , D. Galeazzi , L. Masperi , A. Megevand

We compute the gravitational Chern-Simons term explicitly for an adiabatic family of metrics using standard methods in general relativity. We use the fact that our base three-manifold is a quasi-regular K-contact manifold heavily in this…

Mathematical Physics · Physics 2015-05-18 Brendan McLellan

We study self-duality in the context of the 3+1-split formalism of gravity with non-zero cosmological constant. Lorentzian self-dual configurations are conformally flat spacetimes and have boundary data determined by classical solutions of…

High Energy Physics - Theory · Physics 2009-02-09 Diego S. Mansi , Anastasios C. Petkou , Giovanni Tagliabue

We discuss BF theories defined on manifolds with spatial boundaries. Variational arguments show that one needs to augment the usual action with a boundary term for specific types of boundary conditions. We also show how to use this…

High Energy Physics - Theory · Physics 2009-10-30 Arshad Momen

We show that topological 3D gravity with torsion can be formulated as a Chern-Simons gauge theory, provided a specific parameter, known as the effective cosmological constant, is negative. In that case, the boundary dynamics of the theory…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Blagojevic , M. Vasilic
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