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The general solution of the Einstein equation for higher dimensional (HD) spherically symmetric collapse of inhomogeneous dust in presence of a cosmological term, i.e., exact interior solutions of the Einstein field equations is presented…

广义相对论与量子宇宙学 · 物理学 2011-07-19 S. G. Ghosh , D. W. Deshkar

We present an explicit exact solution of Einstein's equations for an inhomogeneous dust universe with cylindrical symmetry. The spacetime is extremely simple but nonetheless it has new surprising features. The universe is ``closed'' in the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Jose M. M. Senovilla , Raul Vera

The collapse of marginally bound, inhomogeneous, pressureless (dust) matter, in spherical symmetry, is considered. The starting point is not, in this case, the integration of the Einstein equations from some suitable initial conditions.…

广义相对论与量子宇宙学 · 物理学 2018-04-27 Ramon Lapiedra , Juan Antonio Morales-Lladosa

Here we describe a stationary cylindrically symmetric solution of Einstein's equation with matter consisting of a positive cosmological and rotating dust term. The solution approaches Einstein static universe solution.

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

We investigate a class of cylindrically symmetric inhomogeneous $\Lambda$-dust spacetimes which have a regular axis and some zero expansion component. For $\Lambda\ne 0$, we obtain new exact solutions to the Einstein equations and show that…

广义相对论与量子宇宙学 · 物理学 2017-10-11 Irene Brito , M. F. A. da Silva , Filipe C. Mena , N. O. Santos

The loop quantum gravitational collapse of the dust ball in presence of positive cosmological constant is investigated within the Oppenheimer-Snyder collapse scenario. The dust ball interior is described within the framework of loop quantum…

广义相对论与量子宇宙学 · 物理学 2025-07-31 Michał Bobula , Tomasz Pawłowski

We examine the gravitational collapse of an infinite cylindrical distribution of time like dust. In order to simplify the calculation we make an assumption that the axial and azimuthal metric functions are equal. It is shown that the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Sashideep Gutti , T. P. Singh , Pranesh Sundararajan , Cenalo Vaz

We examine the gravitational collapse of spherically symmetric inhomogeneous dust in (2+1) dimensions, with cosmological constant. We obtain the analytical expressions for the interior metric. We match the solution to a vacuum exterior. We…

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

We numerically study the dynamics of an imploding hollow cylinder composed of dust. Since there is no cylindrical black hole in 4-dimensional spacetime with physically reasonable energy conditions, a collapsed dust cylinder involves a naked…

广义相对论与量子宇宙学 · 物理学 2009-11-19 Ken-ichi Nakao , Tomohiro Harada , Yasunari Kurita , Yoshiyuki Morisawa

We develop an algebraic equation to describe the collapse and possible bounce of dust in quantum-inspired gravity models with spherical symmetry from knowledge of the vacuum solution. Starting from a wide class of spherically symmetric…

广义相对论与量子宇宙学 · 物理学 2026-04-30 Douglas M. Gingrich

We find analytical solutions describing the collapse of an infinitely long cylindrical shell of counter-rotating dust. We show that--for the classes of solutions discussed herein--from regular initial data a curvature singularity inevitably…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Sergio M. C. V. Goncalves , Sanjay Jhingan

We consider a system representing self-gravitating balls of dust in an expanding Universe. It is demonstrated that one can prescribe data for such a system at infinity and evolve it backward in time without the development of shocks or…

广义相对论与量子宇宙学 · 物理学 2022-06-29 Shabnam Beheshti , Mikael Normann , Juan Valiente Kroon

Quadratic Gravity supplements the Einstein-Hilbert action by terms quadratic in the spacetime curvature. This leads to a rich phase space of static, compact gravitating objects including the Schwarzschild black hole, wormholes, and naked…

广义相对论与量子宇宙学 · 物理学 2026-03-31 Luca Buoninfante , Francesco Di Filippo , Ivan Kolář , Frank Saueressig

In this article, we present a gravitational collapse null dust solution of the Einstein field equations. The spacetime is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity, and admits one…

广义相对论与量子宇宙学 · 物理学 2017-06-14 Faizuddin Ahmed

Cylindrical-like coordinates for constant-curvature 3-spaces are introduced and discussed. This helps to clarify the geometrical properties, the coordinate ranges and the meaning of free parameters in the static vacuum solution of Linet and…

广义相对论与量子宇宙学 · 物理学 2011-09-28 Jiri Podolsky , Jerry B. Griffiths

A family of exact solutions is presented which represents a rigidly rotating cylinder of dust in a background with a negative cosmological constant. The interior of the infinite cylinder is described by the Godel solution. An exact solution…

广义相对论与量子宇宙学 · 物理学 2015-05-18 J. B. Griffiths , N. O. Santos

We study the spherically symmetric collapse of a cloud of dust in VCDM, a class of gravitational theories with two local physical degrees of freedom. We find that the collapse corresponds to a particular foliation of the Oppenheimer-Snyder…

广义相对论与量子宇宙学 · 物理学 2023-03-22 Antonio De Felice , Kei-ichi Maeda , Shinji Mukohyama , Masroor C. Pookkillath

The Einstein equations are integrated in the presence of two (incoming and outgoing) streams of null dust, under the assumptions of spherical symmetry and staticity. The solution is also written in double null and radiation coordinates and…

广义相对论与量子宇宙学 · 物理学 2010-11-19 László Á. Gergely

We study the collapse of a spherically symmetric dust distribution in $d$-dimensional AdS spacetime. We investigate the role of dimensionality, and the presence of a negative cosmological constant, in determining the formation of trapped…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Rakesh Tibrewala , Sashideep Gutti , T. P. Singh , Cenalo Vaz

We construct approximate solutions that will describe the last stage of cylindrically symmetric gravitational collapse of dust fluid. Just before the spacetime singularity formation, the speed of the dust fluid might be almost equal to the…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Ken-ichi Nakao , Yoshiyuki Morisawa
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