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We describe a class of spacetimes that are asymptotically de Sitter in the Poincare slicing. Assuming that a dS/CFT correspondence exists, we argue that these are gravity duals to a CFT on a circle leading to uniform energy-momentum…

High Energy Physics - Theory · Physics 2015-06-18 Diptarka Das , Sumit R. Das , K. Narayan

In this paper we study non-singular vacuum static space-times with non-zero cosmological constant. We introduce new integral quantities, and under suitable assumptions we prove their monotonicity along the level set flow of the static…

Differential Geometry · Mathematics 2022-03-10 Stefano Borghini , Lorenzo Mazzieri

Dirichlet walls -- timelike boundaries at finite distance from the bulk on which the induced metric is held fixed -- have been used to model AdS spacetimes with a finite cutoff. In the context of gauge/gravity duality, such models are often…

General Relativity and Quantum Cosmology · Physics 2015-11-18 Tomas Andrade , William R. Kelly , Donald Marolf , Jorge E. Santos

We consider globally hyperbolic spacetimes with compact Cauchy surfaces in a setting compatible with the presence of a positive cosmological constant. More specifically, for 3+1 dimensional spacetimes which satisfy the null energy condition…

General Relativity and Quantum Cosmology · Physics 2018-03-13 Gregory J. Galloway , Eric Ling

We present a class of curved-spacetime vacuum solutions which develope closed timelike curves at some particular moment. We then use these vacuum solutions to construct a time-machine model. The causality violation occurs inside an empty…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Amos Ori

Nonlinear perturbations of Friedmann-Lemaitre cosmologies with dust and a positive cosmological constant have recently attracted considerable attention. In this paper our first goal is to compare the evolution of the first and second order…

General Relativity and Quantum Cosmology · Physics 2013-08-28 Claes Uggla , John Wainwright

We discuss the brane cosmology in the 5D anti de Sitter Reissner-Nordstrom (AdSRN$_5$) spacetime. A brane with the tension $\sigma$ is defined as the edge of an AdSRN$_5$ space with mass $M$ and charge $Q$. In this case we get the…

High Energy Physics - Theory · Physics 2016-09-06 Y. S. Myung

We consider higher dimensional generalizations of the four dimensional topological Taub-NUT-AdS solutions, where the angular spheres are replaced by planes and hyperboloids. The thermodynamics of these configurations is discussed to some…

High Energy Physics - Theory · Physics 2011-08-03 Dumitru Astefanesei , Robert B. Mann , Eugen Radu

We conjecture that, in certain cases, quantum dynamics is consistent in the presence of closed timelike curves. We consider time dependent orbifolds of three dimensional Minkowski space describing, in the limit of large AdS radius, BTZ…

High Energy Physics - Theory · Physics 2009-11-11 Lorenzo Cornalba , Miguel S. Costa

We analyse the existence of closed timelike curves in spacetimes which possess an isometry. In particular we check which discrete quotients of such spaces lead to closed timelike curves. As a by-product of our analysis, we prove that the…

High Energy Physics - Theory · Physics 2016-08-16 Liat Maoz , Joan Simón

The closed-universe recollapse conjecture is studied for a class of closed spherically symmetric spacetimes which includes those having as a matter source: (1) a massless scalar field; (2) a perfect fluid obeying the equation of state $\rho…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Gregory A. Burnett

These lecture notes aim to provide a pedagogical introduction to the AdS/CFT correspondence and its extensions to spacetimes with positive (de Sitter spacetime) and zero (flat spacetime) cosmological constant. We begin by explaining the…

High Energy Physics - Theory · Physics 2026-02-04 Gopal Yadav

We analyze asymptotic symmetry algebras in (2+1)-dimensional non-AdS higher-spin gravity with a focus on AdS$_2\times\mathbb{R}$ and $\mathbb{H}_2\times\mathbb{R}$. We find a consistent set of boundary conditions for spin-3 gravity in the…

High Energy Physics - Theory · Physics 2012-10-25 Max Riegler

It is known that quantum field theories in curved spacetime suffer from a number of pathologies, including the inability to relate states on different spatial slices by proper unitary time-evolution operators. In this article, we illustrate…

High Energy Physics - Theory · Physics 2025-12-19 William T. Emond , Christian Käding , Peter Millington

The general metric for conformally flat stationary cyclic symmetric noncircular spacetimes is explicitly given. In spite of the complexity introduced by the inclusion of noncircular contributions, the related metric is derived via the full…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Eloy Ayón-Beato , Cuauhtemoc Campuzano , Alberto García

A consistent set of asymptotic conditions for higher spin gravity in three dimensions is proposed in the case of vanishing cosmological constant. The asymptotic symmetries are found to be spanned by a higher spin extension of the BMS3…

High Energy Physics - Theory · Physics 2013-09-09 Hernan A. Gonzalez , Javier Matulich , Miguel Pino , Ricardo Troncoso

We present and discuss an asynchronous coordinate system covering de Sitter spacetime, notably in a complete way in 1+1 dimensions. The new coordinates have several interesting cosmological properties: the worldlines of comoving…

General Relativity and Quantum Cosmology · Physics 2014-09-12 Christian Marinoni , Heinrich Steigerwald

Stationary, axisymmetric and asymptotically flat spacetimes of dust of which trajectories are integral curves of the time translation Killing vector are investigated. The flow has no Newtonian limit. Asymptotic flatness implies the…

Astrophysics · Physics 2008-11-26 Lukasz Bratek , Joanna Jalocha , Marek Kutschera

We investigate solutions that are dynamically evolving between asymptotically de Sitter and asymptotically anti-de Sitter regions in the context of Einstein gravity coupled to general matter fields in d dimensions. We demonstrate the…

High Energy Physics - Theory · Physics 2009-11-07 Hassan Firouzjahi , Frederic Leblond

We construct infinite dimensional families of non-singular stationary space times, solutions of the vacuum Einstein equations with a negative cosmological constant.

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. T. Chrusciel , E. Delay