Gravitational potential effects on shearing geodesic fluid solutions of Einstein's equations

DOI10.1016/S0034-4877(12)60045-7zbMath1268.83003OpenAlexW2085956628MaRDI QIDQ1942972

Yanyan Li

Publication date: 14 March 2013

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(12)60045-7

zbMATH Keywords

Einstein field equationsMinkowski space-timeEinstein's field equationsRiccati equationgravitational potentialjunction conditionFriedmann metricEFEgeodesic fluidsstellar modeling

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Galactic and stellar structure (85A15) Exact solutions to problems in general relativity and gravitational theory (83C15) Equations of motion in general relativity and gravitational theory (83C10)

Cites Work

• A Riccati equation in radiative stellar collapse
• Exact solutions to Einstein's field equations for perfect spherically symmetric static fluids
• Collapse of a radiating star
• RADIATING GRAVITATIONAL COLLAPSE WITH SHEAR VISCOSITY AND BULK VISCOSITY
• Anisotropic geodesic fluid spheres in general relativity
• Mixed potentials in radiative stellar collapse
• RADIATING COLLAPSE WITH VANISHING WEYL STRESSES
• COLLAPSING INHOMOGENEOUS DUST IN THE BACKGROUND OF PERFECT (OR ANISOTROPIC) FLUID
• SHEAR-FREE RADIATING COLLAPSE AND CONFORMAL FLATNESS

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