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In three dimensions, Kerr-de Sitter spacetime as a solution of Einstein gravity with positive cosmological constant has a single cosmological horizon. The flat-space limit (zero cosmological constant limit) of this spacetime is well-defined…

High Energy Physics - Theory · Physics 2023-10-17 Reza Fareghbal , Vahid Reza Shajiee

Dynamical issues associated with quantum fields in Rindler space are addressed in a study of the interaction between two sources at rest generated by the exchange of scalar particles, photons and gravitons. These static interaction energies…

High Energy Physics - Theory · Physics 2011-05-10 F. Lenz , K. Ohta , K. Yazaki

In this paper, based on an intrinsic definition of asymptotically AdS space-times, we show that the standard anti-de Sitter space-time is the unique strictly stationary asymptotically AdS solution to the vacuum Einstein equations with…

Differential Geometry · Mathematics 2015-06-26 Jie Qing

The Snyder-de Sitter (SdS) model is a generalization of the Snyder model to a spacetime background of constant curvature. It is an example of noncommutative spacetime admitting two fundamental scales besides the speed of light, and is…

High Energy Physics - Theory · Physics 2012-07-24 S. Mignemi

An exact solution of the vacuum Einstein equations with a cosmological constant is exhibited which can perhaps be used to describe the interior of compact rotating objects. The physical part of this solution has the topology of a torus,…

General Relativity and Quantum Cosmology · Physics 2007-09-24 G. F. Chapline , P. Marecki

We consider scalar field theory in de Sitter space with a general vacuum invariant under the continuously connected symmetries of the de Sitter group. We begin by reviewing approaches to define this as a perturbative quantum field theory.…

High Energy Physics - Theory · Physics 2009-11-10 Kevin Goldstein , David A. Lowe

Field theories in black hole spacetimes undergo dimensional reduction near horizon (in the Rindler limit) to two dimensional conformal field theories. We investigate this enhancement of symmetries in the context of gauge/gravity duality by…

High Energy Physics - Theory · Physics 2015-06-17 Prasant Samantray , T. Padmanabhan

Gravitational collapse in asymptotically anti-de Sitter spacetime has a rich but poorly-understood structure. There are strong indications that some families of initial data form "bound" states, which are regular everywhere, while other…

General Relativity and Quantum Cosmology · Physics 2015-05-04 Hirotada Okawa , Jorge C. Lopes , Vitor Cardoso

In recent years, there has been considerable interest in theories formulated in anti-de Sitter (AdS) spacetime. However, AdS spacetime fails to be globally hyperbolic, so a classical field satisfying a hyperbolic wave equation on AdS…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Robert M. Wald

The $\kappa$-deformation of the (2+1)D anti-de Sitter, Poincar\'e and de Sitter groups is presented through a unified approach in which the curvature of the spacetime (or the cosmological constant) is considered as an explicit parameter.…

High Energy Physics - Theory · Physics 2017-11-29 Angel Ballesteros , N. Rossano Bruno , Francisco J. Herranz

A new duality is proposed in four-dimensional flat space, which exchanges between spin and orbital degrees of freedom. This is motivated by a Hodge decomposition of the angular-momentum bivector for massive fields, along which spin and…

High Energy Physics - Theory · Physics 2023-10-06 Kostas Filippas

We construct non-supersymmetric AdS3 solutions of the O(16)xO(16) heterotic string. Most of the backgrounds have a classical worldsheet definition but are quantum string vacua in the sense that string loop corrections change the curvature…

High Energy Physics - Theory · Physics 2023-12-06 Zihni Kaan Baykara , Daniel Robbins , Savdeep Sethi

We study nonperturbative aspects of quantum field theory (QFT) in rigid anti de Sitter (AdS) spacetime using quantum information theoretic methods. While irreversibility of renormalization group (RG) flows is well established in flat space,…

High Energy Physics - Theory · Physics 2026-03-12 Nicolás Abate , Ignacio Salazar , Gonzalo Torroba

Field theory in de Sitter space admits a one-parameter family of vacua determined by a superselection parameter alpha. Of these vacua, the Euclidean vacuum uniquely extrapolates to the vacuum of flat Minkowski space. States which resemble…

High Energy Physics - Theory · Physics 2009-11-10 Jan de Boer , Vishnu Jejjala , Djordje Minic

The group theoretical approach to the relativistic wave equations in the de Sitter and Anti-de Sitter spaces for spin~0 and 1/2 massive particles is considered. The invariant wave equations which determines the appropriate irreducible…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Semyon Pol'shin

Because the gravitational Hamiltonian is a pure boundary term on-shell, asymptotic gravitational fields store information in a manner not possible in local field theories. This fact has consequences for both perturbative and…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Donald Marolf

The quantum states or Hilbert spaces for the quantum field theory in de Sitter space-time are studied on ambient space formalism. In this formalism, the quantum states are only depended $(1)$ on the topological character of the de Sitter…

General Relativity and Quantum Cosmology · Physics 2016-07-27 M. V. Takook

The higher-derivative $\alpha'$ corrections consistent with $O(d,d)$ duality invariance can be completely classified for cosmological, purely time-dependent backgrounds. This result is used to show that there are duality invariant theories…

High Energy Physics - Theory · Physics 2020-01-08 Olaf Hohm , Barton Zwiebach

For a general spherically four--dimensional metric the notion of "circularity" of a family of equatorial geodesic trajectories is defined in geometrical terms. The main object turns out to be the angular--momentum function $J$ obeying a…

General Relativity and Quantum Cosmology · Physics 2017-06-08 Wolfgang Graf

We prove the nonlinear stability of the cosmological region of Kerr de Sitter spacetimes. More precisely, we show that solutions to the Einstein vacuum equations with positive cosmological constant arising from data on a cylinder that is…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Grigorios Fournodavlos , Volker Schlue
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