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The Gao-Wald theorem says that de Sitter spacetime reacts to a positive energy perturbation by getting "taller." How does this change in the presence of timelike boundaries? We study this question in two-dimensional de Sitter JT gravity…

High Energy Physics - Theory · Physics 2024-07-17 Gauri Batra

In this short note, we verify explicitly in static coordinates that the non trivial asymptotic Killing vectors at spatial infinity for anti-de Sitter space-times correspond one to one to the conformal Killing vectors of the conformally flat…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Glenn Barnich , Friedemann Brandt , Kim Claes

De Sitter space is a non-flat Lorentzian space form with positive constant curvature which plays an important role in the theory of relativity. In this paper, we define the notions of timelike rectifying curve and timelike conical surface…

Differential Geometry · Mathematics 2023-10-18 Mahmut Mak

We consider $n$-dimensional asymptotically anti-de Sitter spacetimes in higher curvature gravitational theories with $n \geq 4$, by employing the conformal completion technique. We first argue that a condition on the Ricci tensor should be…

High Energy Physics - Theory · Physics 2009-11-11 Naoya Okuyama , Jun-ichirou Koga

A time-flat condition on spacelike 2-surfaces in spacetime is considered here. This condition is analogous to constant torsion condition for curves in three dimensional space and has been studied in [2, 4, 5, 12, 13]. In particular, any…

Differential Geometry · Mathematics 2014-08-22 Po-Ning Chen , Mu-Tao Wang , Ye-Kai Wang

Certain aspects of three dimensional asymptotically de Sitter spaces are studied, with emphasis on the mapping between gravity observables and the representation of the conformal symmetry of the boundary. In particular, we show that…

High Energy Physics - Theory · Physics 2009-11-07 Bruno Carneiro da Cunha

We study in detail the moduli space of solutions discovered in LLM relaxing the constraint that guarantees the absence of singularities. The solutions fall into three classes, non-singular, null-singular and time machines with a time-like…

High Energy Physics - Theory · Physics 2009-11-11 Giuseppe Milanesi , Martin O'Loughlin

Two canonical formulations of the Einstein gravity in 2+1 dimensions, namely, the ADM formalism and the Chern-Simons gravity, are investigated in the case of nonvanishing cosmological constant. General arguments for reducing phase spaces of…

High Energy Physics - Theory · Physics 2013-11-13 Kiyoshi Ezawa

For a local quantum field theory in anti-de Sitter space with conformal boundary conditions but without dynamical gravity, the boundary theory is generically a non-local conformal field theory. Such theories can support conformal defects,…

High Energy Physics - Theory · Physics 2026-05-15 Jiaxin Qiao

In this paper we find a self-consistent vacuum for Misner space. For this "adapted" Rindler vacuum the renormalized stress-energy tensor is zero throughout the Misner space. A point-like particle detector traveling on a timelike geodesic in…

General Relativity and Quantum Cosmology · Physics 2012-08-27 Li-Xin Li , J. Richard Gott , III

The effective action of a free scalar field propagating in the generalized Godel spacetime is evaluated by the zeta-function regularization method. From the result we show that the renormalized stress energy tensor may be divergent at the…

High Energy Physics - Theory · Physics 2009-11-07 Wung-Hong Huang

Our focus is on a specific type-N space-time that exhibits closed time-like curves in general relativity theory within the framework of Ricci-inverse gravity model. The matter-energy content is solely composed of a pure radiation field, and…

General Relativity and Quantum Cosmology · Physics 2023-12-27 F. Ahmed , J. C. R. de Souza , A. F. Santos

Over the past two decades, substantial efforts have been made to understand the way in which physics enforces the ordinary topology and causal structure that we observe, from subnuclear to cosmological scales. We review the status of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John L. Friedman , Atsushi Higuchi

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches…

High Energy Physics - Theory · Physics 2009-10-31 Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

The statement of the title is proved. It implies that under physically reasonable conditions, spacetimes which are free from singularities are necessarily stably causal and hence admit a time function. Read as a singularity theorem it…

General Relativity and Quantum Cosmology · Physics 2009-05-12 E. Minguzzi

We extend the argument that spacetimes generated by two timelike particles in D=3 gravity (or equivalently by parallel-moving cosmic strings in D=4) permit closed timelike curves (CTC) only at the price of Misner identifications that…

General Relativity and Quantum Cosmology · Physics 2009-11-19 S. Deser , Alan R. Steif

In the first part of this work we show a uniqueness result for globally hyperbolic spacetimes with a spacelike conformal boundary satisfying the vacuum Einstein equations with positive cosmological constant. Then we present applications of…

General Relativity and Quantum Cosmology · Physics 2018-03-06 Didier A. Solis

We perform quantization of a model in which gravity is coupled to a circular dust shell in 2+1 spacetime dimensions. Canonical analysis shows that momentum space of this model is ADS^2-space, and the global chart for it is provided by the…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Alexander A. Andrianov , Yasser Elmahalawy , Artem Starodubtsev

We present here three new solutions of Brans-Dicke theory for a stationary geometry with cylindrical symmetry in the presence of matter in rigid rotation with $T^\mu_\mu\neq 0$. All the solutions have eternal closed timelike curves in some…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luis A. Anchordoqui , Santiago E. Perez Bergliaffa , Marta L. Trobo , Graciela S. Birman

Quantum fields are investigated in the (2+1)-open-universes with non-trivial topologies by the method of images. The universes are locally de Sitter spacetime and anti-de Sitter spacetime. In the present article we study spacetimes whose…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Masaru Siino