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The Eguchi-Hanson-AdS$_5$ family of spacetimes are a class of static, geodesically complete asymptotically locally AdS$_5$ soliton solutions of the vacuum Einstein equations with negative cosmological constant. They have negative mass and…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Turkuler Durgut , Robie A. Hennigar , Hari K. Kunduri , Robert B. Mann

We discuss electrostatics in Anti-de-Sitter ($AdS$) spacetime, in global coordinates. We observe that the multipolar expansion has two crucial differences to that in Minkowski spacetime. First, there are everywhere regular solutions, with…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Carlos Herdeiro , Eugen Radu

When a Hamiltonian density is bounded by below, we know that the lowest-energy state must be stable. One is often tempted to reverse the theorem and therefore believe that an unbounded Hamiltonian density always implies an instability. The…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Gilles Esposito-Farese

We analyze the physics of massive spin 2 fields in (A)dS backgrounds and exhibit that: The theory is stable only for masses m^2 >= 2\Lambda/3, where the conserved energy associated with the background timelike Killing vector is positive,…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

Over the last few years, low- and high-redshift observations set off tensions in the measurement of the present-day expansion rate $H_0$ and in the determination of the amplitude of the matter clustering in the late Universe (parameterized…

High Energy Physics - Theory · Physics 2024-06-11 Luis A. Anchordoqui , Ignatios Antoniadis , Dieter Lust

The stability of certain class of asymptotically AdS wormholes in vacuum against scalar field perturbations is analyzed. For a free massive scalar field, the stability of the perturbation is guaranteed provided the squared mass is bounded…

High Energy Physics - Theory · Physics 2014-11-18 Diego H. Correa , Julio Oliva , Ricardo Troncoso

We compute a one-loop effective action for the constant modes of the scalars and the Polyakov loop matrix of N=4 SYM on S^3 at finite temperature and weak 't Hooft coupling. Above a critical temperature, the effective potential develops new…

High Energy Physics - Theory · Physics 2010-10-27 Timothy Hollowood , S. Prem Kumar , Asad Naqvi

For n+1 dimensional asymptotically AdS spacetimes which have holographic duals on their n dimensional conformal boundaries, we show that the imposition of causality on the boundary theory is sufficient to prove positivity of mass for the…

High Energy Physics - Theory · Physics 2009-11-07 Don N. Page , Sumati Surya , Eric Woolgar

Via the AdS/CFT correspondence, fundamental constraints on the entanglement structure of quantum systems translate to constraints on spacetime geometries that must be satisfied in any consistent theory of quantum gravity. In this paper, we…

High Energy Physics - Theory · Physics 2014-12-23 Nima Lashkari , Charles Rabideau , Philippe Sabella-Garnier , Mark Van Raamsdonk

We construct new static, asymptotically AdS solutions where the conformal infinity is the product of Minkowski spacetime $M_n$ and a sphere $S^m$. Both globally regular, soliton-type solutions and black hole solutions are considered. The…

High Energy Physics - Theory · Physics 2014-11-21 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

In isotropic loop quantum cosmology, non-perturbatively modified dynamics of a minimally coupled scalar field violates weak, strong and dominant energy conditions when they are stated in terms of equation of state parameter. The violation…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Golam Mortuza Hossain

We study AdS/CFT with a Kaluza-Klein magnetic field in one plane. By appropriate choice of magnetic U(1), and by balancing the magnetic field against the background D field, we obtain a supersymmetric field theory. We find the dual geometry…

High Energy Physics - Theory · Physics 2014-06-26 Ahmed Almuhairi , Joseph Polchinski

We consider the four-dimensional Einstein-Klein-Gordon-AdS system with conformal mass subject to the Robin boundary conditions at infinity. Above a critical value of the Robin parameter, at which the AdS spacetime goes linearly unstable, we…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Piotr Bizoń , Dominika Hunik-Kostyra , Maciej Maliborski

Asymptotically locally AdS and asymptotically flat black hole solutions are found for a particular case of the Horndeski action. The action contains the Einstein-Hilbert term with a cosmological constant, a real scalar field with a non…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Adolfo Cisterna , Cristián Erices

Static spherically-symmetric matter distributions whose energy-momentum tensor is characterized by a non-negative trace are studied analytically within the framework of general relativity. We prove that such field configurations are…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Shahar Hod

The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch \cite{BO}, and for non-spin case by Chu and Zhu \cite{CZh}. In this paper, we generalize the positive energy theorem for…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Yaohua Wang , Xiao Zhang

It has been recently argued that an embedding of the SM into a consistent theory of quantum gravity may imply important constraints on the mass of the lightest neutrino and the cosmological constant $\Lambda_{4}$. The constraints come from…

High Energy Physics - Theory · Physics 2018-07-04 Eduardo Gonzalo , Alvaro Herráez , Luis E. Ibáñez

In recent years, the AdS instability conjecture, put forward by Dafermos-Holzegel in 2006, has attracted a substantial amount of numerical and heuristic studies. Following the pioneering work of Bizon-Rostworowski, research efforts have…

Analysis of PDEs · Mathematics 2018-12-12 Georgios Moschidis

Recent developments in string compactifications demonstrate obstructions to the simplest constructions of low energy cosmologies with positive vacuum energy. The existence of obstacles to creating scale-separated de Sitter solutions…

High Energy Physics - Theory · Physics 2019-01-09 Souvik Banerjee , Ulf Danielsson , Giuseppe Dibitetto , Suvendu Giri , Marjorie Schillo

Minimal $D=5$ supergravity admits asymptotically globally AdS$_5$ gravitational solitons (strictly stationary, geodesically complete spacetimes with positive mass). We show that, like asymptotically flat gravitational solitons, these…

High Energy Physics - Theory · Physics 2020-10-28 Shane Andrews , Robie A. Hennigar , Hari K. Kunduri
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