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Regular PapersNo Access

RELATIVISTIC GRAVITATIONAL COLLAPSE IN COMOVING COORDINATES: THE POST-QUASISTATIC APPROXIMATION

Departamento de Fisica Teórica e Historia de la Viencia, Universidad del País Vasco, Bilbao, Spain

Also at UCV, Caracas.

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and

Centro de Física Fundamental, Facultad de Ciencias, Universidad de Los Andes, Mérida, Venezuela

On sabbatical leave while beginning this work.

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https://doi.org/10.1142/S0218271811019426Cited by:11 (Source: Crossref)

Abstract

A general iterative method proposed some years ago for the description of relativistic collapse is presented here in comoving coordinates. For doing that we redefine the basic concepts required for the implementation of the method for comoving coordinates. In particular, the definition of the post-quasistatic approximation in comoving coordinates is given. We write the field equations, the boundary conditions and a set of ordinary differential equations (the surface equations) which play a fundamental role in the algorithm. As an illustration of the method, we show how to build up a model inspired by the well-known Schwarzschild interior solution. Both the adiabatic and the nonadiabatic case are considered.

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Vol. 20, No. 07

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Received 28 December 2010

Revised 28 March 2011

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