High-order perturbations of a spherical collapsing star

Details High-order perturbations of a spherical collapsing star High-order perturbations of a spherical collapsing star

2010-09-28

arxiv.org/abs/1009.5605v2

Phys.Rev.D82:104039,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages

Scientific paper

10.1103/PhysRevD.82.104039

In Ref. [1, 2] a formalism to deal with high-order perturbations of a general spherical background was developed. In this article, we apply it to the particular case of a perfect fluid background. We have expressed the perturbations of the energy-momentum tensor at any order in terms of the perturbed fluid's pressure, density and velocity. In general, these expressions are not linear and have sources depending on lower order perturbations. For the second-order case we make the explicit decomposition of these sources in tensor spherical harmonics. Then, a general procedure is given to evolve the perturbative equations of motions of the perfect fluid for any value of the harmonic label. Finally, with the problem of a spherical collapsing star in mind, we discuss the high-order perturbative matching conditions across a timelike surface, in particular the surface separating the perfect fluid interior from the exterior vacuum.

Affiliated with

Also associated with

No associations

Rating

High-order perturbations of a spherical collapsing star 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 High-order perturbations of a spherical collapsing star, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High-order perturbations of a spherical collapsing star will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-694616