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The vacuum expectation value of the surface energy-momentum tensor is evaluated for a scalar field obeying Robin boundary condition on a spherical brane in (D+1)-dimensional spacetime $Ri\times S^{D-1}$, where $Ri$ is a two-dimensional…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian , M. R. Setare

We construct and classify all space-like minimal surfaces in AdS_3 x S^3 which globally admit coordinates with constant induced metric on both factors. Up to O(2,2) x O(4) transformations all these surfaces, except one class, are…

High Energy Physics - Theory · Physics 2010-12-17 Harald Dorn , George Jorjadze , Chrysostomos Kalousios , Luka Megrelidze , Sebastian Wuttke

In three and two dimensions the asymptotic symmetry groups of $AdS$ spaces are infinite dimensional. This can be explained easily by noting the relations $AdS_3 \simeq SL(2)$ and $AdS_2 \simeq SL(2)/SO(2)$, i.e. that the asymptotic…

High Energy Physics - Theory · Physics 2012-12-11 Heikki Arponen

Based on scale critical initial data, we construct smooth asymptotically flat Cauchy initial data for the Einstein vacuum system that does not contain Marginally Outer Trapped Surfaces (MOTS) but whose future evolution contains a trapped…

Analysis of PDEs · Mathematics 2020-09-10 Nikolaos Athanasiou , Martin Lesourd

Present-day temperature $T_0$ of cosmic microwave background has been precisely measured by the FIRAS experiment. We identify that the early dark energy (EDE) (non-negligible around matter-radiation equality) scenario can remain compatible…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-06 Gen Ye , Yun-Song Piao

It is well known that the spacetime $\text{AdS}_2\times S^2$ arises as the `near horizon' geometry of the extremal Reisser-Nordstrom solution, and for that reason it has been studied in connection with the AdS/CFT correspondence. Motivated…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Gregory J. Galloway , Melanie Graf , Eric Ling

We formulate the variational problem for AdS gravity with Dirichlet boundary conditions and demonstrate that the covariant counterterms are necessary to make the variational problem well-posed. The holographic charges associated with…

High Energy Physics - Theory · Physics 2009-11-11 Ioannis Papadimitriou , Kostas Skenderis

Minimal area surfaces in AdS$_3$ ending on a given curve at the boundary are dual to planar Wilson loops in N=4 SYM. In previous work it was shown that the problem of finding such surfaces can be recast as the one of finding an appropriate…

High Energy Physics - Theory · Physics 2017-12-06 Yifei He , Martin Kruczenski

We use the formulation of asymptotically anti-de Sitter boundary conditions given by Ashtekar and Magnon to obtain a coordinate expression for the general asymptotically AdeS metric in a neighbourhood of infinity. From this, we are able to…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Woolgar

This paper studies the geodesics connecting two time-like separated boundary points in asymptotically anti-de Sitter (AdS) spacetime. We find that in spherically symmetry Schwarzschild AdS black hole, smooth space-like geodesics can connect…

High Energy Physics - Theory · Physics 2024-12-31 Jia-Hao He , Run-Qiu Yang

We show that $3$-dimensional AdS spacetime can be semiclassically unstable due to strongly interacting quantum field effects. In our previous paper, we have pointed out the possibility of such an instability of AdS$_3$ by inspecting linear…

High Energy Physics - Theory · Physics 2023-12-19 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

Energy barriers determine the dynamics in many physical systems like structural glasses, disordered spin systems or proteins. Here we present an approach, which is based on subdividing the configuration space in a hierarchical manner,…

Disordered Systems and Neural Networks · Physics 2009-11-11 C. Amoruso , A. K. Hartmann , M. A. Moore

Quantum inequalities bound the extent to which weighted time averages of the renormalized energy density of a quantum field can be negative. They have mostly been proved in flat spacetime, but we need curved-spacetime inequalities to…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Eleni-Alexandra Kontou , Ken D. Olum

We find a new Penrose limit of AdS_5 x S^5 giving the maximally supersymmetric pp-wave background with two explicit space-like isometries. This is an important missing piece in studying the AdS/CFT correspondence in certain subsectors. In…

High Energy Physics - Theory · Physics 2014-11-20 Gianluca Grignani , Troels Harmark , Andrea Marini , Marta Orselli

We investigate the existence and the global causal structure of plane symmetric spacetimes with weak regularity when the matter consists of an irrotational perfect fluid with pressure equal to its mass-energy density. Our theory encompasses…

General Relativity and Quantum Cosmology · Physics 2011-06-16 Philippe G. LeFloch , John M. Stewart

In this paper, we proved the mass angular momentum inequality\cite{D1}\cite{ChrusLiWe}\cite{SZ} for axisymmetric, asymptotically flat, vacuum constraint data sets with small trace. Given an initial data set with small trace, we construct a…

Differential Geometry · Mathematics 2012-09-10 Xin Zhou

We obtain spherically-symmetric and $\R^2$-symmetric dyonic black holes that are asymptotic to anti-de Sitter space-time (AdS), which are solutions in maximal gauged four-dimensional supergravity, with just one of the U(1) fields carrying…

High Energy Physics - Theory · Physics 2013-11-07 H. Lu , Y. Pang , C. N. Pope

Particle experiments are difficult at weak coupling because interactions are rare and a huge number of collision attempts are needed to attain significant precision. One often hears that "one Higgs boson is produced in a billion of…

High Energy Physics - Theory · Physics 2019-03-07 Oleg Evnin

We develop a careful definition of energy for nonsupersymmetric warped product asymptotically $AdS_d \times M_q$ solutions which include a nonzero p-form. In the case of an electric p-form extending along all the AdS directions, and in…

High Energy Physics - Theory · Physics 2008-11-26 Keith Copsey , Robert B. Mann

We study no-boundary de Sitter extremal surfaces and their pseudo-entropy areas for generic subregions at the future boundary, building on previous work. For large subregions, timelike+Euclidean extremal surfaces exist with transparent…

High Energy Physics - Theory · Physics 2026-04-02 K. Narayan