Compact anisotropic stars with membrane - a new class of exact solutions to the Einstein field equations

Details Compact anisotropic stars with membrane - a new class of exact solutions to the Einstein field equations Compact anisotropic stars with membrane - a new class of exact solutions to the Einstein field equations

2003-06-16

arxiv.org/abs/gr-qc/0306063v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages, no figures; revised v2: references and typos corrected, references added, changed Introduction to acknowledge releve

Scientific paper

A new class of solutions to Einstein's classical field equations of general relativity is presented. The solutions describe a non-rotating, spherically symmetric, compact self gravitating object, residing in a static electro-vacuum space time. The solutions generally have an interior non-zero matter-distribution. A wide class of interior solutions can be constructed for any specific set of exterior parameters (mass, charge). The original Schwarzschild and Reissner-Nordstroem solutions constitute special cases within the variety of interior solutions. An outstanding feature of the new solutions is a non-continuous boundary of the matter-distribution, accompanied by a two dimensional membrane at the boundary. The membrane consists of an infinitesimally thin spherical shell of tangential pressure (surface tension/stress). The interior matter state generally has a locally anisotropic pressure. A general procedure for generating the new solutions is given. A few solutions are derived and discussed briefly. In order to identify the physically most promising solutions, a selection principle is formulated, based on the holographic principle. One solution of particular interest emerges. It is characterized by the property, that the "stress-energy content" of the membrane is equal to the gravitating mass of the object.

Affiliated with

Also associated with

No associations

Rating

Compact anisotropic stars with membrane - a new class of exact solutions to the Einstein field equations 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 Compact anisotropic stars with membrane - a new class of exact solutions to the Einstein field equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compact anisotropic stars with membrane - a new class of exact solutions to the Einstein field equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673902