Compact anisotropic stars with membrane - a new class of exact solutions to the Einstein field equations
| dc.creator | Petri, Michael | |
| dc.date | 2003-06-16 | |
| dc.date | 2004-05-02 | |
| dc.date.accessioned | 2026-07-07T03:27:54Z | |
| dc.date.available | 2026-07-07T03:27:54Z | |
| dc.description | 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. | |
| dc.description | 34 pages, no figures; revised v2: references and typos corrected, references added, changed Introduction to acknowledge relevent papers that were overlooked; v3: moved equations of motion to Appendix | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0306063 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0306063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34622 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Compact anisotropic stars with membrane - a new class of exact solutions to the Einstein field equations | |
| dc.type | text |