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Title: Tolman-Bondi-Vaidya spacetime: Matching timelike dust to null dust

Abstract

The Tolman-Bondi and Vaidya solutions are two solutions to Einstein equations which describe dust particles and null fluid, respectively. We show that it is possible to match the two solutions in one single spacetime, the Tolman-Bondi-Vaidya spacetime. The new spacetime is divided by a null surface with Tolman-Bondi dust on one side and Vaidya fluid on the other side. The differentiability of the spacetime is discussed. By constructing a specific solution, we show that the metric across the null surface can be at least C{sup 1} and the stress-energy tensor is continuous.

Authors:
;  [1]
  1. Centro Multidisciplinar de Astrofisica - CENTRA, Departamento de Fisica, Instituto Superior Tecnico, Universidade Tecnica de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisbon (Portugal)
Publication Date:
OSTI Identifier:
20709093
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 71; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.71.084022; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; DUSTS; EINSTEIN FIELD EQUATIONS; FLUIDS; MATHEMATICAL SOLUTIONS; SPACE-TIME; STRESSES; SURFACES; TENSORS

Citation Formats

Gao, Sijie, and Lemos, Jose P. S. Tolman-Bondi-Vaidya spacetime: Matching timelike dust to null dust. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.71.084022.
Gao, Sijie, & Lemos, Jose P. S. Tolman-Bondi-Vaidya spacetime: Matching timelike dust to null dust. United States. https://doi.org/10.1103/PhysRevD.71.084022
Gao, Sijie, and Lemos, Jose P. S. 2005. "Tolman-Bondi-Vaidya spacetime: Matching timelike dust to null dust". United States. https://doi.org/10.1103/PhysRevD.71.084022.
@article{osti_20709093,
title = {Tolman-Bondi-Vaidya spacetime: Matching timelike dust to null dust},
author = {Gao, Sijie and Lemos, Jose P. S.},
abstractNote = {The Tolman-Bondi and Vaidya solutions are two solutions to Einstein equations which describe dust particles and null fluid, respectively. We show that it is possible to match the two solutions in one single spacetime, the Tolman-Bondi-Vaidya spacetime. The new spacetime is divided by a null surface with Tolman-Bondi dust on one side and Vaidya fluid on the other side. The differentiability of the spacetime is discussed. By constructing a specific solution, we show that the metric across the null surface can be at least C{sup 1} and the stress-energy tensor is continuous.},
doi = {10.1103/PhysRevD.71.084022},
url = {https://www.osti.gov/biblio/20709093}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 71,
place = {United States},
year = {Fri Apr 15 00:00:00 EDT 2005},
month = {Fri Apr 15 00:00:00 EDT 2005}
}