Singularities in gravitational collapse with radial pressure

Details Singularities in gravitational collapse with radial pressure Singularities in gravitational collapse with radial pressure

2001-07-16

arxiv.org/abs/gr-qc/0107054v1

Gen.Rel.Grav.33:2125-2149,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

to appear in GRG; LaTeX, 22 pages, 2 eps figures

Scientific paper

10.1023/A:1015285531320

We analyze spherical dust collapse with non-vanishing radial pressure, $\Pi$, and vanishing tangential stresses. Considering a barotropic equation of state, $\Pi=\gamma\rho$, we obtain an analytical solution in closed form---which is exact for $\gamma=-1,0$, and approximate otherwise---near the center of symmetry (where the curvature singularity forms). We study the formation, visibility, and curvature strength of singularities in the resulting spacetime. We find that visible, Tipler strong singularities can develop from generic initial data. Radial pressure alters the spectrum of possible endstates for collapse, increasing the parameter space region that contains no visible singularities, but cannot by itself prevent the formation of visible singularities for sufficiently low values of the energy density. Known results from pressureless dust are recovered in the $\gamma=0$ limit.

Affiliated with

Also associated with

No associations

Rating

Singularities in gravitational collapse with radial pressure 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 Singularities in gravitational collapse with radial pressure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singularities in gravitational collapse with radial pressure will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472745