On matching LTB and Vaidya spacetimes through a null hypersurface
S. Khakshournia
TL;DR
This paper investigates the conditions under which LTB dust solutions can be smoothly matched to Vaidya null fluid solutions across a null hypersurface within Einstein's theory of gravity.
Contribution
It provides a detailed analysis of the matching conditions between LTB and Vaidya spacetimes along a null hypersurface, highlighting specific cases for smooth matching.
Findings
Identifies conditions for smooth matching of LTB and Vaidya solutions.
Discusses various scenarios where the matching is possible.
Contributes to understanding of spacetime junctions in general relativity.
Abstract
In this work the matching of a LTB interior solution representing dust matter to the Vaidya exterior solution describing null fluid through a null hypersurface is studied. Different cases in which one is able to smoothly match these two solutions to Einstein equations along a null hypesurface are discussed.
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