BUCHDAHL-LIKE TRANSFORMATIONS FOR PERFECT FLUID SPHERES

DOI10.1142/S0218271808011912zbMath1154.83002arXiv0707.0146OpenAlexW3103912872WikidataQ59619549 ScholiaQ59619549MaRDI QIDQ3527371

Petarpa Boonserm, Matt Visser

Publication date: 29 September 2008

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0146

zbMATH Keywords

Buchdahl transformationsexact solutions in GRStatic spherically symmetric solutions of Einstein equation

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (4)

Vacuum-dual static perfect fluid obeying p=−(n−3)ρ/(n+1) in n(⩾4) dimensions ⋮ Buchdahl-Vaidya-Tikekar model for stellar interior in pure Lovelock gravity ⋮ Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land ⋮ Generating perfect fluid solutions in isotropic coordinates

Cites Work

• Physical acceptability of isolated, static, spherically symmetric, perfect fluid solutions of Einstein's equations
• General Relativistic Fluid Spheres
• General exact solutions of Einstein equations for static perfect fluids with spherical symmetry
• Spacetime geometry of static fluid spheres
• Bounds on the interior geometry and pressure profile of static fluid spheres
• Spherically Symmetrical Models in General Relativity
• Radially Symmetric Distributions of Matter

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