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We consider third order Lovelock gravity coupled to an U(1) gauge field for which its Lagrangian is given by a power of Maxwell invariant. In this paper, we present a class of horizon flat rotating black branes and investigate their…

General Relativity and Quantum Cosmology · Physics 2015-06-23 S. H. Hendi , S. Panahiyan , H. Mohammadpour

We consider Lovelock theories of gravity in the context of AdS/CFT. We show that, for these theories, causality violation on a black hole background can occur well in the interior of the geometry, thus posing more stringent constraints than…

High Energy Physics - Theory · Physics 2011-06-07 Xian O. Camanho , Jose D. Edelstein , Miguel F. Paulos

We calculate the linearized four-dimensional gravitational Chern-Simons term at the finite temperature, show its finiteness and explicitly demonstrate that its transversal part matches the known result for the chiral vortical conductivity.

High Energy Physics - Theory · Physics 2018-08-16 J. F. Assuncao , T. Mariz , J. R. Nascimento , A. Yu. Petrov

In this work, the analysis of some new static black hole solutions of Lovelock gravity with nonconstant curvature transverse section is presented. It will be shown that the finiteness of the charges and the action principle rely on the…

General Relativity and Quantum Cosmology · Physics 2024-05-15 R. Aros , Milko Estrada

In this paper I present an action principle for odd dimensional AdS gravity which consists of introducing another manifold with the same boundary and a very specific boundary term. This new action allows and alternative approach to the…

High Energy Physics - Theory · Physics 2007-08-23 Pablo Mora

We extend our recent work on the quasilocal formulation of conserved charges to a theory of gravity containing a gravitational Chern-Simons term. As an application of our formulation, we compute the off-shell potential and quasilocal…

High Energy Physics - Theory · Physics 2013-12-16 Wontae Kim , Shailesh Kulkarni , Sang-Heon Yi

In this work we construct holographic boundary theories for linearized 3D gravity, for a general family of finite or quasi-local boundaries. These boundary theories are directly derived from the dynamics of 3D gravity by computing the…

General Relativity and Quantum Cosmology · Physics 2019-05-28 Seth K. Asante , Bianca Dittrich , Florian Hopfmueller

The Hamiltonian constraint Hc = NH = 0, defines a diffeomorphic structure on spatial manifolds by the lapse function N in general theory of relativity. However, it is not manifest in Lanczos-Lovelock gravity, since the expression for…

High Energy Physics - Theory · Physics 2016-06-14 Soumendranath Ruz , Ranajit Mandal , Subhra Debnath , Abhik Kumar Sanyal

We present a new derivation of gravitational entropy functionals in higher-curvature theories of gravity using corner terms that are needed to ensure well-posedness of the variational principle in the presence of corners. This is…

High Energy Physics - Theory · Physics 2024-06-18 Jani Kastikainen , Andrew Svesko

We derive a formula for the black hole entropy in theories with gravitational Chern-Simons terms, by generalizing Wald's argument which uses the Noether charge. It correctly reproduces the entropy of three-dimensional black holes in the…

High Energy Physics - Theory · Physics 2008-11-26 Yuji Tachikawa

The Lanczos-Lovelock models of gravity constitute the most general theories of gravity in D dimensions which satisfy (a) the principle of of equivalence, (b) the principle of general co-variance, and (c) have field equations involving…

General Relativity and Quantum Cosmology · Physics 2011-05-09 Alexandre Yale , T. Padmanabhan

We show that ${\cal N}=1$ supergravity with a cosmological constant can be expressed as constrained topological field theory based on the supergroup $Osp(1|4)$. The theory is then extended to include timelike boundaries with finite spatial…

High Energy Physics - Theory · Physics 2009-10-31 Yi Ling , Lee Smolin

We study dynamical structure of Pure Lovelock gravity in spacetime dimensions higher than four using the Hamiltonian formalism. The action consists of cosmological constant and a single higher-order polynomial in the Riemann tensor.…

High Energy Physics - Theory · Physics 2016-03-09 Naresh Dadhich , Remigiusz Durka , Nelson Merino , Olivera Miskovic

We consider extensions of the Einstein-Hilbert Lagrangian to a general functional of metric and Riemann curvature tensor. A given such Lagrangian describes two different theories depending on considering connection and metric (Palatini…

High Energy Physics - Theory · Physics 2008-11-26 Q. Exirifard , M. M. Sheikh-Jabbari

The field equations of a generalized $f(R)$ type gravity model, in which there is an arbitrary coupling between matter and geometry, are obtained. The equations of motion for test particles are derived from a variational principle in the…

General Relativity and Quantum Cosmology · Physics 2009-05-26 T. Harko

We consider three dimensional gravity with a positive cosmological constant and non- zero gravitational Chern-Simons term. This theory has inflating de Sitter solutions and local metric degrees of freedom. The Euclidean signature partition…

High Energy Physics - Theory · Physics 2011-11-23 Alejandra Castro , Nima Lashkari , Alexander Maloney

It is well-known that the presence of a spacetime boundary requires the conventional Einstein-Hilbert (EH) action to be supplemented by the Gibbons-Hawking (GH) boundary term in order to retain the standard variational procedure. When the…

High Energy Physics - Theory · Physics 2018-07-23 Gregory Gabadadze , David Pirtskhalava

We introduce a simple method for the investigation of the classical stability of static solutions with a horizon in Lovelock gravity. The method is applicable to the investigation of high angular momentum instabilities, similar to those…

High Energy Physics - Theory · Physics 2015-05-28 P. Suranyi , L. C. R. Wijewardhana

In this work, we propose a topological quantum field theory phase for four-dimensional gravity. We show it is able to generate, not only General Relativity, but the whole family of Lovelock-Cartan theories of gravity. This is accomplished…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Guilherme Sadovski , Rodrigo F. Sobreiro

Using the translation method of Tartar, Murat, Lurie, and Cherkaev bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. They assume electrical impedance tomography measurements have been made for…

Analysis of PDEs · Mathematics 2012-06-05 Hyeonbae Kang , Graeme W. Milton