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These are course notes for the 'Introduction to holography' Master level course at University of Cologne. The goal of the course is to give a pedogogical introduction to holography. Holography is a popular approach to quantum gravity, in…

High Energy Physics - Theory · Physics 2026-03-06 Nele Callebaut

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

In the framework of the static patch approach to de Sitter holography introduced in [arXiv:2109.14104], the growth of holographic complexity has a hyperfast behaviour, which leads to a divergence in a finite time. This is very different…

High Energy Physics - Theory · Physics 2023-07-19 Roberto Auzzi , Giuseppe Nardelli , Gabriel Pedde Ungureanu , Nicolo Zenoni

We numerically simulate gravitational collapse in asymptotically anti-de Sitter spacetimes away from spherical symmetry. Starting from initial data sourced by a massless real scalar field, we solve the Einstein equations with a negative…

High Energy Physics - Theory · Physics 2017-11-08 Hans Bantilan , Pau Figueras , Markus Kunesch , Paul Romatschke

We take the first steps towards non-AdS holography in higher spin gravity. Namely, we propose a variational principle for generic 3-dimensional higher spin gravity that accommodates asymptotic backgrounds beyond AdS, like asymptotically…

High Energy Physics - Theory · Physics 2013-06-18 Michael Gary , Daniel Grumiller , Radoslav Rashkov

We present the general algorithm to establish the classical and quantum asymptotic symmetry algebra for non-AdS higher spin gravity and implement it for the specific example of spin-3 gravity in the non-principal embedding with Lobachevsky…

High Energy Physics - Theory · Physics 2013-06-18 H. Afshar , M. Gary , D. Grumiller , R. Rashkov , M. Riegler

Scalar fields minimally coupled to General Relativity in three dimensions are considered. For certain families of self-interaction potentials, new exact solutions describing solitons and hairy black holes are found. It is shown that they…

High Energy Physics - Theory · Physics 2015-06-03 Francisco Correa , Cristian Martinez , Ricardo Troncoso

I'll describe a general geometric setup allowing for a generalization of Rehren duality to asymptotically anti-de Sitter spacetimes whose classical matter distribution is sufficiently well-behaved as to prevent the occurence of…

High Energy Physics - Theory · Physics 2016-09-06 Pedro Lauridsen Ribeiro

We report that a class of three-dimensional bimetric theories contain asymptotically flat solutions. These spacetimes can be cast in a set of asymptotic conditions at null infinity which are preserved under the infinite dimensional BMS…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Hernan A. Gonzalez , Miguel Pino

This thesis is dedicated to the study of symmetries in reduced models of gravity, with some frozen degrees of freedom. We focus on the minisuperspace reduction whith a finite number of degrees of freedom. Minisuperspaces are treated as…

General Relativity and Quantum Cosmology · Physics 2022-11-10 Francesco Sartini

We examine a stationary but non-static asymptotically AdS_3 spacetime with two causally connected conformal boundaries, each of which is a ``null cylinder'', namely a cylinder with a null direction identified. This spacetime arises from…

High Energy Physics - Theory · Physics 2009-11-10 Vijay Balasubramanian , Asad Naqvi , Joan Simon

The gauge/string dualities have drawn attention to a class of variational problems on a boundary at infinity, which are not well defined unless a certain boundary term is added to the classical action. In the context of supergravity in…

High Energy Physics - Theory · Physics 2011-03-17 Ioannis Papadimitriou

Three-dimensional Einstein-Maxwell theory with non trivial asymptotics at null infinity is solved. The symmetry algebra is a Virasoro-Kac-Moody type algebra that extends the bms3 algebra of the purely gravitational case. Solution space…

General Relativity and Quantum Cosmology · Physics 2015-11-26 Glenn Barnich , Pierre-Henry Lambert , Pujian Mao

For a spherically symmetric self-gravitating scalar field we study self similar and quasi-self similar solutions in asymptotically flat and AdS spacetimes in various dimensions. Our main approach relies on reducing the Einstein-Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2015-03-03 Wenli Zhao

The suspicion that gravity is holographic has been supported mainly by a variety of specific examples from string theory. In this paper, we propose that such a holography can actually be observed in the context of Einstein's gravity and at…

High Energy Physics - Theory · Physics 2015-06-22 Yu Tian , Xiao-Ning Wu , Hongbao Zhang

The mapping between bulk supergravity fields in anti-de Sitter space and operators in the dual boundary conformal field theory usually relies heavily on the available global symmetries. In the present work, we study a generalization of this…

High Energy Physics - Theory · Physics 2009-01-01 David A Lowe , Shubho Roy

In the spherically symmetric case the requirements of regularity of density and pressures and finiteness of the ADM mass $m$, together with the weak energy condition, define the family of asymptotically flat globally regular solutions to…

High Energy Physics - Theory · Physics 2007-05-23 Irina Dymnikova

Gravitational waves with a space-translation Killing field are considered. In this case, the 4-dimensional Einstein vacuum equations are equivalent to the 3-dimensional Einstein equations with certain matter sources. This interplay between…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Abhay Ashtekar , Jiri Bicak , Bernd G. Schmidt

For spacetimes that are not asymptotic to anti-de Sitter Space (non AAdS), we adapt the Lewkowycz-Maldacena procedure to find the holographic entanglement entropy. The key observation, which to our knowledge is not very well appreciated, is…

High Energy Physics - Theory · Physics 2016-07-08 Wei Song , Qiang Wen , Jianfei Xu

The asymptotic structure of three-dimensional Carroll gravity with negative cosmological constant is studied. We formulate a consistent set of boundary conditions preserved by an infinite-dimensional extension of the AdS$_3$ Carroll…

High Energy Physics - Theory · Physics 2025-06-25 Luis Avilés , Oscar Fuentealba , Diego Hidalgo , Pablo Rodríguez
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