A covariant approach to LRS-II spacetime matching.
Loading...
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In this thesis we examine the spacetime matching conditions covariantly for Locally
Rotationally Symmetric class II (LRS-II) spacetimes, of which spherical symmetry is
a special case. We use the semi-tetrad 1+1+2 covariant formalism and look at two
general spacetime regions in LRS-II and match them across a timelike hypersurface
using the Israel-Darmois matching conditions. This gives a new and unique result which
is transparently presented in terms of the matching of various geometrical quantities
(e.g. the expansion, shear, acceleration). Thereafter we apply the new result to the
case involving a general spherically symmetric spacetime, representing for instance the
interior of a star, and the Schwarzschild spacetime, which could represent the exterior.
It is shown that the matching conditions make the Misner-Sharp and Schwarzschild
masses exactly the same at the boundary, and the pressure is zero on the boundary.
Description
Master of Science in Mathematics, Statistics and Computer Science. University of KwaZulu-Natal, Durban 2017.
Keywords
Theses - Applied Mathematics.