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We construct exact initial data for closed cosmological models filled with regularly arranged black holes in the presence of $\Lambda$. The intrinsic geometry of the 3-dimensional space described by this data is a sum of simple closed-form…

广义相对论与量子宇宙学 · 物理学 2017-03-15 Jessie Durk , Timothy Clifton

New, simple models of ``black hole interiors'', namely spherically symmetric solutions of the Einstein field equations in matter matching the Schwarzschild vacuum at spacelike hypersurfaces ``R<2M'' are constructed. The models satisfy the…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Giulio Magli

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

广义相对论与量子宇宙学 · 物理学 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

In this paper, we look for the vacuum static spherically symmetric solution in the mimetic gravity scenario based on the conformal invariance principle. The trivial solution is a stealth Schwarzschild black hole with scalar hair where the…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Mohammad Ali Gorji , Alireza Allahyari , Mohsen Khodadi , Hassan Firouzjahi

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…

高能物理 - 理论 · 物理学 2009-11-10 Evgeny Sorkin , Barak Kol , Tsvi Piran

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,…

高能物理 - 理论 · 物理学 2009-11-10 Barak Kol , Evgeny Sorkin , Tsvi Piran

Construction of astrophysically realistic initial data remains a central problem when modelling the merger and eventual coalescence of binary black holes in numerical relativity. The objective of this paper is to provide astrophysically…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Samaya Nissanke

We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is…

广义相对论与量子宇宙学 · 物理学 2014-05-13 Bruno C. Mundim , Hiroyuki Nakano , Nicolás Yunes , Manuela Campanelli , Scott C. Noble , Yosef Zlochower

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Kashif Alvi

We consider dynamical spherically symmetric spacetimes, which are conformal to the static spherically symmetric metrics, and find new solutions of Einstein equations by symmetry considerations. Our study help us classify various conformal…

广义相对论与量子宇宙学 · 物理学 2016-12-23 Hooman Moradpour , Nematollah Riazi

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…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Sergio Dain , Jose Luis Jaramillo , Badri Krishnan

We present a new approach for setting initial Cauchy data for multiple black hole spacetimes. The method is based upon adopting an initially Kerr-Schild form of the metric. In the case of non-spinning holes, the constraint equations take a…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Nigel T. Bishop , Richard Isaacson , Manoj Maharaj , Jeffrey Winicour

Recent numerical simulations have found that the Cauchy horizon inside spherical charged black holes, when perturbed nonlinearly by a self-gravitating, minimally-coupled, massless, spherically-symmetric scalar field, turns into a null weak…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Lior M. Burko

In our recent work [Van de Moortel, The coexistence of null and spacelike singularities inside spherically symmetric black holes], we analyzed the transition between null and spacelike singularities in spherically symmetric dynamical black…

广义相对论与量子宇宙学 · 物理学 2026-03-24 Maxime Van de Moortel

Misner initial data are a standard example of time-symmetric initial data with two apparent horizons. Compact formulae describing such data are presented in the cases of equal or non-equal masses (i.e. isometric or non-isometric horizons).…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Szymon Leski

Time-symmetric initial data for two-body solutions in three dimensional anti-deSitter gravity are found. The spatial geometry has constant negative curvature and is constructed as a quotient of two-dimensional hyperbolic space. Apparent…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Alan R. Steif

The well-known Schwarzschild black hole was first obtained as a stationary, spherically symmetric solution of the Einstein's vacuum field equations. But until thirty years later, efforts were made for the analytic extension from the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Shu Dai , Cheng-Bo Guan

We construct a family of asymptotically flat Cauchy initial data for the Einstein vacuum equations that contain no trapped surfaces, yet whose future development admits multiple causally independent trapped surfaces. Assuming the weak…

广义相对论与量子宇宙学 · 物理学 2025-06-23 Dawei Shen , Jingbo Wan

As an example of a black hole in a non-flat background a composite static spacetime is constructed. It comprises a vacuum Schwarzschild spacetime for the interior of the black hole across whose horizon it is matched on to the spacetime of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 K. Rajesh Nayak , M. A. H. MacCallum , C. V. Vishveshwara

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…

高能物理 - 理论 · 物理学 2009-11-10 H. S. Tan , Edward Teo
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