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Using a metric conformal formulation of the Einstein equations, we develop a construction of 4-dimensional anti-de Sitter-like spacetimes coupled to tracefree matter models. Our strategy relies on the formulation of an initial-boundary…

广义相对论与量子宇宙学 · 物理学 2021-06-07 Diego A. Carranza , Juan A. Valiente Kroon

Exact and explicit string solutions in de Sitter spacetime are found. (Here, the string equations reduce to a sinh-Gordon model). A new feature without flat spacetime analogy appears: starting with a single world-sheet, several (here two)…

高能物理 - 理论 · 物理学 2009-10-22 H. J. de Vega , A. V. Mikhailov , N. Sanchez

We find explicit de Sitter shockwave solutions in arbitrary spacetime dimensions. We use these to determine the dimensional-dependent "stretching" of the de Sitter Penrose diagram in the presence of a shock or black hole. This stretching…

高能物理 - 理论 · 物理学 2025-02-28 Daniel McLoughlin , Rachel A Rosen

This is the second of two works, in which we discuss the definition of an appropriate notion of mass for static metrics, in the case where the cosmological constant is positive and the model solutions are compact. In the first part, we have…

偏微分方程分析 · 数学 2022-03-10 Stefano Borghini , Lorenzo Mazzieri

In this paper we study the Cauchy problem for semi-linear de Sitter models with power non-linearity. The model of interest is \[ \phi_{tt} - e^{-2t} \Delta \phi + n\phi_t+m^2\phi=|\phi|^p,\quad (\phi(0,x),\phi_t(0,x))=(f(x),g(x)),\] where…

偏微分方程分析 · 数学 2017-03-30 Marcelo Rempel Ebert , Michael Reissig

We construct electromagnetic field with non-trivial topological properties on de Sitter background. The field is closely related with Hopf fibration. We analyze energy, angular momentum and topological charges for this solution. The paper…

广义相对论与量子宇宙学 · 物理学 2024-03-22 Adam Grzela , Jacek Jezierski , Tomasz Smołka

The late-time behavior of our universe is one of accelerated expansion, or that of a de Sitter space, and therefore motivates us to look for time-dependent backgrounds. Finding such backgrounds in string theory has always been a challenging…

高能物理 - 理论 · 物理学 2021-07-15 Keshav Dasgupta , Maxim Emelin , Mir Mehedi Faruk , Radu Tatar

In this paper, we study the long time behavior of energy solutions for a class of wave equation with time-dependent mass and speed of pro\-pagation. We introduce a classification of the potential term, which clarifies whether the solution…

偏微分方程分析 · 数学 2017-10-04 Marcelo Rempel Ebert , Wanderley Nunes do Nascimento

We present a class of solutions to the Einstein-Maxwell equations in d-dimensions, all of which are asymptotically (anti)-de Sitter space-times. They describe electrically charged rotating solutions, which are generalizations of those found…

高能物理 - 理论 · 物理学 2009-11-07 Adel Awad

We revisit the classical theory of ten-dimensional two-derivative gravity coupled to fluxes, scalar fields, D-branes, anti D-branes and Orientifold-planes. We show that such set-ups do not give rise to a four-dimensional positive curvature…

高能物理 - 理论 · 物理学 2015-06-18 Keshav Dasgupta , Rhiannon Gwyn , Evan McDonough , Mohammed Mia , Radu Tatar

Within the general class of Asymptotically Anti-de Sitter spacetimes that are asymptotic to the A-de-S Schwarzschild metric, we give a simple positive mass theorem based on arguments from causal structure. A general result for all…

广义相对论与量子宇宙学 · 物理学 2007-05-23 E. Woolgar

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…

广义相对论与量子宇宙学 · 物理学 2014-09-12 Christian Marinoni , Heinrich Steigerwald

We provide a general method for studying a manifestly covariant formulation of $p$-form gauge theories on the de Sitter space. This is done by stereographically projecting the corresponding theories, defined on flat Minkowski space, onto…

高能物理 - 理论 · 物理学 2008-11-26 Rabin Banerjee

We study the classical radiation emitted by free-falling charges in de Sitter spacetime coupled to different kinds of fields. Specifically we consider the cases of the electromagnetic field, linearized gravity and scalar fields with…

广义相对论与量子宇宙学 · 物理学 2010-10-11 E. T. Akhmedov , Albert Roura , A. Sadofyev

In this expository note, I present some basic geometric and twistor theoretic facts about de Sitter space leading up to a discussion of Penrose's quasi-local mass construction for linear gravity theory in the de Sitter background. The…

广义相对论与量子宇宙学 · 物理学 2015-05-25 Paul Tod

Viable models of modified gravity which satisfy both local as well as cosmological tests are investigated. It is demonstrated that some versions of such highly non-linear models exhibit multiply de Sitter universe solutions, which often…

广义相对论与量子宇宙学 · 物理学 2009-02-20 G. Cognola , E. Elizalde , S. D. Odintsov , P. Tretyakov , S. Zerbini

We construct simple standing wave solutions in a 5D space-time with a ghost scalar field. The nodes of these standing waves are 'islands' of 4D Minkowski space-time. For the 5D model with increasing (decreasing) warp factor there are a…

高能物理 - 理论 · 物理学 2010-09-01 Merab Gogberashvili , Douglas Singleton

Exact solutions of Einstein's equations in 2+1-dimensional anti-de Sitter space containing any number of black holes are described. In addition to the black holes these spacetimes can possess ``internal'' structure. Accordingly the generic…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Dieter Brill

This paper describes an efficient method for solving the classical string equations of motion in (2+1)-dimensional anti-de Sitter spacetime. Exact string solutions are identified that are the analogs of piecewise linear strings in flat…

高能物理 - 理论 · 物理学 2015-08-28 David Vegh

This is the second paper of a two part work that establishes a definitive quantitative nonlinear scattering theory for asymptotically de Sitter vacuum solutions $(M,g)$ in $(n+1)$ dimensions with $n\geq4$ even, which are determined by small…

偏微分方程分析 · 数学 2026-05-20 Serban Cicortas