Spacetime geometry of static fluid spheres

Details Spacetime geometry of static fluid spheres Spacetime geometry of static fluid spheres

2001-03-16

arxiv.org/abs/gr-qc/0103065v4

Class.Quant.Grav. 19 (2002) 935-952

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Plain LaTeX 2e -- V2: now 22 pages; minor presentation changes in the first part of the paper -- no physics modifications; maj

Scientific paper

10.1088/0264-9381/19/5/307

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 monotone 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 and calculate its total mass. 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.

Affiliated with

Also associated with

No associations

Rating

Spacetime geometry of static fluid spheres does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spacetime geometry of static fluid spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spacetime geometry of static fluid spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285150