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A new class of solutions of the Einstein field equations in spherical symmetry is found. The new solutions are mathematically described as the metrics admitting separation of variables in area-radius coordinates. Physically, they describe…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Roberto Giambo' , Fabio Giannoni , Giulio Magli , Paolo Piccione

We study global structures of black hole solutions in Einstein gravity with Gauss-Bonnet term coupled to dilaton in various dimensions. In particular we focus on the problem whether the singularity is weakened due to the Gauss-Bonnet term…

High Energy Physics - Theory · Physics 2010-12-09 Nobuyoshi Ohta , Takashi Torii

Singular solutions of the harmonic Einstein evolution equation are constructed which are related to spatially global and time-local solutions for a certain class of quasilinear hyperbolic systems of second order. The constructed…

Analysis of PDEs · Mathematics 2016-03-30 Joerg Kampen

Using a recently developed generalized Weyl formalism, we construct an asymptotically flat, static vacuum Einstein solution that describes a superposition of multiple five-dimensional Schwarzschild black holes. The spacetime exhibits a…

High Energy Physics - Theory · Physics 2009-11-10 H. S. Tan , Edward Teo

A class of exact solutions of Einstein's equations is analysed which describes uniformly accelerating charged black holes in an asymptotically de Sitter universe. This is a generalisation of the C-metric which includes a cosmological…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky , J. B. Griffiths

We present a general construction of initial data for Einstein's equations containing an arbitrary number of black holes, each of which is instantaneously in equilibrium. Each black hole is taken to be a marginally trapped surface and plays…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sergio Dain , Jose Luis Jaramillo , Badri Krishnan

As is well-known, Newton's gravitational theory can be formulated as a four-dimensional space-time theory and follows as singular limit from Einstein's theory, if the velocity of light tends to the infinity. Here 'singular' stands for the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 G. Dautcourt

We consider general relativity with cosmological constant minimally coupled to electromagnetic field and assume that four-dimensional space-time manifold is the warped product of two surfaces with Lorentzian and Euclidean signature metrics.…

General Physics · Physics 2019-07-31 D. E. Afanasev , M. O. Katanaev

Global properties of vacuum static, spherically symmetric configurations are studied in a general class of scalar-tensor theories (STT) of gravity in various dimensions. The conformal mapping between the Jordan and Einstein frames is used…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kirill A. Bronnikov

We study the general black hole solutions of dimensionally reduced five-dimensional Einstein-Gauss-Bonnet gravity. The reduced theory contains gravity, electromagnetism and a scalar field, with nonlinear corrections to the action and…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Z. Belkhadria , S. Mignemi , F. Paderi

Einstein's equations imply that a gravitationally collapsed object forms an event horizon. But what lies on the other side of this horizon? In this paper, we question the reality of the conventional solution (the black hole), and point out…

High Energy Physics - Theory · Physics 2025-05-22 Kostas Tzanavaris , Latham Boyle , Neil Turok

In this work we study static black holes in the regularized 4D Einstein-Gauss-Bonnet theory of gravity; a shift-symmetric scalar-tensor theory that belongs to the Horndeski class. This theory features a simple black hole solution that can…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Pedro G. S. Fernandes , Pedro Carrilho , Timothy Clifton , David J. Mulryne

We develop Truncated Conformal Space (TCS) technique for perturbations of c=1 Conformal Field Theories. We use it to give the first numerical evidence of the validity of the non-linear integral equation (NLIE) derived from light-cone…

High Energy Physics - Theory · Physics 2009-10-31 G. Feverati , F. Ravanini , G. Takacs

Many solutions of Einstein's field equations contain closed timelike curves (CTC). Some of these solutions refer to ordinary materials in situations which might occur in the laboratory, or in astrophysics. It is argued that, in default of a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 W. B. Bonnor

We present a family of extensions of spherically symmetric Einstein-Lanczos-Lovelock gravity. The field equations are second order and obey a generalized Birkhoff's theorem. The Hamiltonian constraint can be written in terms of a…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Gabor Kunstatter , Hideki Maeda , Tim Taves

The cosmological black hole solution on the Gibbons-Hawking space has been constructed. We also investigate the properties of this solution in the case of a single black hole. Unlike the Kastor-Traschen solution, which becomes static…

High Energy Physics - Theory · Physics 2008-11-26 Daisuke Ida , Hideki Ishihara , Masashi Kimura , Ken Matsuno , Yoshiyuki Morisawa , Shinya Tomizawa

The infinite cosmological "constant" limit of the de Sitter solutions to Einstein's equation is studied. The corresponding spacetime is a singular, four-dimensional cone-space, transitive under proper conformal transformations, which…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. Aldrovandi , J. P. Beltran Almeida , J. G. Pereira

A homothetic, static, spherically symmetric solution to the massless Einstein- Klein-Gordon equations is described. There is a curvature singularity which is central, null, bifurcate and marginally trapped. The space-time is therefore…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

Two novel topological black hole exact solutions with unusual shapes of horizons in the simplest holographic axions model, the four-dimensional Einstein-Maxwell-axions theory, are constructed. We draw embedding diagrams in various…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Jinbo Yang

The Einstein/Maxwell equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities phi: R^3\Sigma -> H^2_C, where Sigma is a subset of the axis of symmetry, and H^2_C is the complex hyperbolic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Gilbert Weinstein