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We investigate the dynamics of the geometric transitions associated to compactified spacetimes. By including the dynamics of gravity we are able to follow the evolution of collapsing cycles as they attempt to undergo a topology changing…

High Energy Physics - Theory · Physics 2009-06-10 Neil A. Butcher , Paul M. Saffin

In backgrounds with compact dimensions there may exist several phases of black objects including the black-hole and the black-string. The phase transition between them raises puzzles and touches fundamental issues such as topology change,…

High Energy Physics - Theory · Physics 2009-11-10 Barak Kol , Evgeny Sorkin , Tsvi Piran

We construct time-dependent multi-centre solutions to three-dimensional general relativity with zero or negative cosmological constant. These solutions correspond to dynamical systems of freely falling black holes and conical singularities,…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Gérard Clément

We describe the first convergent numerical method to determine static black hole solutions (with S^3 horizon) in 5d compactified spacetime. We obtain a family of solutions parametrized by the ratio of the black hole size and the size of the…

High Energy Physics - Theory · Physics 2009-11-10 Evgeny Sorkin , Barak Kol , Tsvi Piran

We study phases of five-dimensional three-charge black holes with a circle in their transverse space. In particular, when the black hole is localized on the circle we compute the corrections to the metric and corresponding thermodynamics in…

High Energy Physics - Theory · Physics 2010-10-27 Troels Harmark , Kristjan R. Kristjansson , Niels A. Obers , Peter B. Ronne

I describe the general mathematical construction and physical picture of topological black holes, which are black holes whose event horizons are surfaces of non-trivial topology. The construction is carried out in an arbitrary number of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. B. Mann

We present stationary, nonextremal three charge rotating black hole solutions in the five-dimensional U(1)^3 ungauged supergravity. At infinity, our solutions behave as a four-dimensional flat spacetime with a compact extra-dimension and…

High Energy Physics - Theory · Physics 2010-09-21 Shinya Tomizawa

In this letter we show that in a Kaluza-Klein framework we can have arbitrary topology change between the macroscopic (i.e. noncompactified) spacelike 3-hypersurfaces. This is achieved by using the compactified dimensions as a catalyser for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Radu Ionicioiu

We discuss properties of a 4-dimensional Schwarzschild black hole in a spacetime where one of the spatial dimensions is compactified. As a result of the compactification the event horizon of the black hole is distorted. We use Weyl…

High Energy Physics - Theory · Physics 2009-11-10 Andrei V. Frolov , Valeri P. Frolov

We directly connect topological changes that can occur in mathematical three-space via surgery, with black hole formation, the formation of wormholes and new generalizations of these phenomena. This work widens the bridge between topology…

Geometric Topology · Mathematics 2018-09-27 Stathis Antoniou , Louis H. Kauffman , Sofia Lambropoulou

A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isometries. We consider all such spacetimes that can be obtained…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Stefan Aminneborg , Ingemar Bengtsson , Dieter Brill , Soren Holst , Peter Peldan

We study six-dimensional rotating black holes with bumpy horizons: these are topologically spherical, but the sizes of symmetric cycles on the horizon vary non-monotonically with the polar angle. We construct them numerically for the first…

High Energy Physics - Theory · Physics 2015-06-23 Roberto Emparan , Pau Figueras , Marina Martinez

We study black holes in two and three dimensions that have spacelike curvature singularities behind horizons. The 2D solutions are obtained by dimensionally reducing certain 3D black holes, known as quantum BTZ solutions. Furthermore, we…

High Energy Physics - Theory · Physics 2023-10-17 Maciej Kolanowski , Marija Tomašević

We study phases of five-dimensional three-charge black holes with a circle in their transverse space. In particular, when the black hole is localized on the circle we compute the corrections to the metric and corresponding thermodynamics in…

High Energy Physics - Theory · Physics 2008-11-26 Troels Harmark , Kristjan R. Kristjansson , Niels A. Obers , Peter B. Ronne

We explore time-symmetric hypersurfaces containing apparent horizons of black objects in a 5d spacetime with one coordinate compactified on a circle. We find a phase transition within the family of such hypersurfaces: the horizon has…

High Energy Physics - Theory · Physics 2009-11-07 Evgeny Sorkin , Tsvi Piran

Static vacuum spacetimes with one compact dimension include black holes with localised horizons but also uniform and non-uniform black strings where the horizon wraps over the compact dimension. We present new numerical solutions for these…

High Energy Physics - Theory · Physics 2009-11-10 Hideaki Kudoh , Toby Wiseman

We study the perturbative behaviour of topological black holes in the presence of a cosmological constant and a scalar field coupled to the Gauss-Bonnet term. We calculate both analytically and numerically the quasi-normal modes of scalar…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Stella Kiorpelidi , George Koutsoumbas , Andri Machattou , Eleftherios Papantonopoulos

We present a new class of 3D black hole initial data sets for numerical relativity. These data sets go beyond the axisymmetric, ``gravity wave plus rotating black hole'' single black hole data sets by creating a dynamic, distorted hole with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. R. Brandt , K. Camarda , E. Seidel

From a purely geometric (kinematic) perspective, black holes in four dimensional spacetimes can have event horizons with arbitrary topologies. It is only when energy conditions are imposed that the horizon's topology is constrained to be…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Carlos Barceló , Gerardo García-Moreno , Alejandro Jiménez Cano

Black holes are usually studied without including effects of the expanding universe. However in some recent studies black holes have been embedded in an expanding universe, in order to determine the interplay, if any, of these two dynamical…

General Physics · Physics 2013-07-11 David P. Rothall , Reginald T. Cahill
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