General solutions of Einstein's spherically symmetric gravitational equations with junction conditions

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dc.creatorDas, A.
dc.creatorDeBenedictis, A.
dc.creatorTariq, N.
dc.date2003-07-03
dc.date2003-09-10
dc.date.accessioned2026-07-07T03:27:57Z
dc.date.available2026-07-07T03:27:57Z
dc.descriptionEinstein's spherically symmetric interior gravitational equations are investigated. Following Synge's procedure, the most general solution of the equations is furnished in case $T^{1}_{1}$ and $T^{4}_{4}$ are prescribed. The existence of a total mass function, $M(r,t)$, is rigorously proved. Under suitable restrictions on the total mass function, the Schwarzschild mass $M(r,t)=m$, implicitly defines the boundary of the spherical body as $r=B(t)$. Both Synge's junction conditions as well as the continuity of the second fundamental form are examined and solved in a general manner. The weak energy conditions for an \emph{arbitrary boost} are also considered. The most general solution of the spherically symmetric anisotropic fluid model satisfying both junction conditions is furnished. In the final section, various exotic solutions are explored using the developed scheme including gravitational instantons, interior $T$-domains and $D$-dimensional generalizations.
dc.description23 pages, 1 figure, uses AMS packages. Updated version has corrected typos as well as added comments and extension regarding ISLD junction conditions. Accepted for publication in Journal of Mathematical Physics
dc.identifierhttps://arxiv.org/abs/gr-qc/0307009
dc.identifierhttp://arxiv.org/abs/gr-qc/0307009
dc.identifierJ.Math.Phys. 44 (2003) 5637-5655
dc.identifierdoi:10.1063/1.1621056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34641
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleGeneral solutions of Einstein's spherically symmetric gravitational equations with junction conditions
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