The structure of the extreme Schwarzschild-de Sitter space-time

Details The structure of the extreme Schwarzschild-de Sitter space-time The structure of the extreme Schwarzschild-de Sitter space-time

1999-10-08

arxiv.org/abs/gr-qc/9910029v1

Gen.Rel.Grav. 31 (1999) 1703-1725

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 10 figures, LaTeX, to appear in Gen. Rel. Grav

Scientific paper

The extreme Schwarzschild-de Sitter space-time is a spherically symmetric solution of Einstein's equations with a cosmological constant Lambda and mass parameter m>0 which is characterized by the condition that 9 Lambda m^2=1. The global structure of this space-time is here analyzed in detail. Conformal and embedding diagrams are constructed, and synchronous coordinates which are suitable for a discussion of the cosmic no-hair conjecture are presented. The permitted geodesic motions are also analyzed. By a careful investigation of the geodesics and the equations of geodesic deviation, it is shown that specific families of observers escape from falling into the singularity and approach nonsingular asymptotic regions which are represented by special "points" in the complete conformal diagram. The redshift of signals emitted by particles which fall into the singularity, as detected by those observers which escape, is also calculated.

Affiliated with

Also associated with

No associations

Rating

The structure of the extreme Schwarzschild-de Sitter space-time 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 The structure of the extreme Schwarzschild-de Sitter space-time, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The structure of the extreme Schwarzschild-de Sitter space-time will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-654270