Spacetime geometry of static fluid spheres
- 19 February 2002
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 19 (5), 935-952
- https://doi.org/10.1088/0264-9381/19/5/307
Abstract
We exhibit a simple and explicit formula for the metric of an arbitrary static spherically-symmetric perfect-fluid spacetime. This class of metrics depends on one freely specifiable monotonic non-increasing generating function. We also investigate various regularity conditions and the constraints they impose. Because we never make any assumptions as to the nature (or even the existence) of an equation of state, this technique is useful in situations where the equation of state is for whatever reason uncertain or unknown. To illustrate the power of the method we exhibit a new form of the 'Goldman-I' exact solution. This is a three-parameter closed-form exact solution given in terms of algebraic combinations of quadratics. It interpolates between (and thereby unifies) at least six other reasonably well-known exact solutions.Other Versions
This publication has 13 references indexed in Scilit:
- Physical acceptability of isolated, static, spherically symmetric, perfect fluid solutions of Einstein's equationsComputer Physics Communications, 1998
- Dirty black holes: Entropy as a surface termPhysical Review D, 1993
- Dirty black holes: Entropy versus areaPhysical Review D, 1993
- Regularity of spherically symmetric static solutions of the Einstein equationsClassical and Quantum Gravity, 1993
- Dirty black holes: Thermodynamics and horizon structurePhysical Review D, 1992
- Traversable wormholes from surgically modified Schwarzschild spacetimesNuclear Physics B, 1989
- Traversable wormholes: Some simple examplesPhysical Review D, 1989
- Wormholes, Time Machines, and the Weak Energy ConditionPhysical Review Letters, 1988
- Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativityAmerican Journal of Physics, 1988
- Observer Time as a Coordinate in Relativistic Spherical HydrodynamicsThe Astrophysical Journal, 1966