Buchdahl-like transformations for perfect fluid spheres

Details Buchdahl-like transformations for perfect fluid spheres Buchdahl-like transformations for perfect fluid spheres

2007-07-02

arxiv.org/abs/0707.0146v1

Int.J.Mod.Phys.D17:135-163,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages

Scientific paper

10.1142/S0218271808011912

In two previous articles [Phys. Rev. D71 (2005) 124307 (gr-qc/0503007), and gr-qc/0607001] we have discussed several "algorithmic" techniques that permit one (in a purely mechanical way) to generate large classes of general relativistic static perfect fluid spheres. Working in Schwarzschild curvature coordinates, we used these algorithmic ideas to prove several "solution-generating theorems" of varying levels of complexity. In the present article we consider the situation in other coordinate systems: In particular, in general diagonal coordinates we shall generalize our previous theorems, in isotropic coordinates we shall encounter a variant of the so-called "Buchdahl transformation", while in other coordinate systems (such as Gaussian polar coordinates, Synge isothermal coordinates, and Buchdahl coordinates) we shall find a number of more complex "Buchdahl-like transformations" and "solution-generating theorems" that may be used to investigate and classify the general relativistic static perfect fluid sphere. Finally by returning to general diagonal coordinates and making a suitable ansatz for the functional form of the metric components we place the Buchdahl transformation in its most general possible setting.

Affiliated with

Also associated with

No associations

Rating

Buchdahl-like transformations for perfect 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 Buchdahl-like transformations for perfect fluid spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Buchdahl-like transformations for perfect fluid spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-692375