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We review the remarkable progress that has been made the last 15 years towards the classification of supersymmetric solutions with emphasis on the description of the bilinears and spinorial geometry methods. We describe in detail the…

High Energy Physics - Theory · Physics 2019-03-27 U. Gran , J. Gutowski , G. Papadopoulos

We consider the black hole solutions of five-dimensional gravity with a Gauss-Bonnet term in the bulk and an induced gravity term on a 2-brane of codimension-2. Applying the Kerr-Schild method we derive additional solutions which include…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Bertha Cuadros-Melgar , Susana Aguilar , Nelson Zamorano

We discuss the possible relationship between geodesic flow, integrability and supersymmetry, using fermionic extensions of the KdV equation, as well as the recently introduced supersymmetrisation of the Camassa-Holm equation, as…

Exactly Solvable and Integrable Systems · Physics 2011-04-15 Chandrashekar Devchand , Jeremy Schiff

All homothetic self-similar solutions of the Brans-Dicke scalar field in three-dimensional spacetime with circular symmetry are found in closed form.

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. A. Benesh , Anzhong Wang

The existence and stability under linear perturbation of closed timelike curves in the spacetime associated to Schwarzschild black hole pierced by a spinning string are studied. Due to the superposition of the black hole, we find that the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Valeria M. Rosa , Patricio S. letelier

We present a new numerical code that evolves a spherically symmetric configuration of collisionless matter in the Brans-Dicke theory of gravitation. In this theory the spacetime is dynamical even in spherical symmetry, where it can contain…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Mark A. Scheel , Stuart L. Shapiro , Saul A. Teukolsky

We extent our previous study on spherically symmetric braneworld solutions with induced gravity, including non-local bulk effects. We find the most general static four-dimensional black hole solutions with g_{tt}=-g_{rr}^{-1}. They satisfy…

High Energy Physics - Theory · Physics 2008-11-26 G. Kofinas , E. Papantonopoulos , V. Zamarias

Gravity coupled to an arbitrary number of antisymmetric tensors and scalar fields in arbitrary space-time dimensions is studied in a context of general, static, spherically symmetric solutions with many orthogonally intersecting branes.…

High Energy Physics - Theory · Physics 2009-11-10 Marcin P. Flak , Krzysztof A. Meissner

New exact vacuum solutions with various singularities in the plane-symmetric spacetime are shown, and they are applied to the analysis of inhomogeneous cosmological models and colliding gravitational waves. One of the singularities can be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kenji Tomita

Analysis of black hole spacetimes requires study of the motion of particles and light in these spacetimes. Here exact solutions of the geodesic equations are the means of choice. Numerous interesting black hole spacetimes have been analyzed…

General Relativity and Quantum Cosmology · Physics 2022-06-14 Saskia Grunau , Jutta Kunz

Branes may be approximated semi-classically by solutions of supergravity theories with event and Cauchy horizons. I suggest that if one wishes to avoid singularities and to capture accurately some of the properties of branes then these…

High Energy Physics - Theory · Physics 2007-05-23 G W Gibbons

In this paper, we find the solutions of quartic quasitopological black holes and branes coupled to logarithmic and exponential forms of nonlinear electrodynamics. These solutions have an essential singularity at $r=0$. Depending on the…

General Relativity and Quantum Cosmology · Physics 2019-10-02 A. Bazrafshan , F. Naeimipour , M. Ghanaatian , A. Khajeh

Given a smooth globally hyperbolic $(3+1)$-dimensional spacetime satisfying the Einstein vacuum equations (possibly with cosmological constant) and an inextendible timelike geodesic, we construct a family of metrics depending on a small…

General Relativity and Quantum Cosmology · Physics 2024-08-14 Peter Hintz

We show that a general solution of the Einstein equations that describes approach to an inhomogeneous and anisotropic sudden spacetime singularity does not experience geodesic incompleteness. This generalises the result established for…

General Relativity and Quantum Cosmology · Physics 2013-09-11 John D. Barrow , S. Cotsakis

This review considers the properties of classical solutions to supergravity theories with partially unbroken supersymmetry. These solutions saturate Bogomol'ny-Prasad-Sommerfield bounds on their energy densities and are the carriers of the…

High Energy Physics - Theory · Physics 2009-09-23 K. S. Stelle

We consider some classes of solutions of the static, spherically symmetric gravitational field equations in the vacuum in the brane world scenario, in which our Universe is a three-brane embedded in a higher dimensional space-time. The…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Harko , M. K. Mak

In this paper, we present a class of rotating solutions in Gauss--Bonnet gravity in the presence of cosmological constant and conformally invariant Maxwell field and study the effects of the nonlinearity of the Maxwell source on the…

High Energy Physics - Theory · Physics 2014-11-21 S. H. Hendi

The linear stability of closed timelike geodesics (CTGs) is analyzed in two spacetimes with cylindrical sources, an infinite rotating dust cylinder, and a cylindrical cloud of static cosmic strings with a central spinning string. We also…

General Relativity and Quantum Cosmology · Physics 2011-01-26 Valéria M. Rosa , Patricio S. Letelier

We present a general method for constructing supergravity solutions for intersecting branes. The solutions are written in terms of a single function, which is the solution to a nonlinear differential equation. We illustrate this procedure…

High Energy Physics - Theory · Physics 2010-02-03 Arvind Rajaraman

Research on black holes and their physical proprieties has been active on last 90 years. With the appearance of the String Theory and the Braneworld models as alternative descriptions of our Universe, the interest on black holes, in these…

General Relativity and Quantum Cosmology · Physics 2010-05-26 A. B. Pavan
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