|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'585
Articles rated: 2609
24 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Hamiltonian approach to relativistic star models | | Kjell Rosquist
; | | Date: |
18 Nov 1994 | | Journal: | Class.Quant.Grav. 12 (1995) 1305-1326 | | Subject: | gr-qc | | Abstract: | An ADM-like Hamiltonian approach is proposed for static spherically symmetric relativistic star configurations. For a given equation of state the entire information about the model can be encoded in a certain 2-dimensional minisuperspace geometry. We derive exact solutions which arise from symmetries corresponding to linear and quadratic geodesic invariants in minisuperspace by exploiting the relation to minisuperspace Killing tensors. A classification of exact solutions having the full number of integrations constants is given according to their minisuperspace symmetry properties. In particular it is shown that Schwarzschild’s exterior solution and Buchdahl’s n=1 polytrope solution correspond to minisuperspaces with a Killing vector symmetry while Schwarzschild’s interior solution, Whittaker’s solution and Buchdahl’s n=5 polytrope solution correspond to minisuperspaces with a second rank Killing tensor. New solutions filling in empty slots in this classification scheme are also given. One of these new solutions has a physically reasonable equation of state and is a generalization of Buchdahl’s n=1 polytrope model. | | Source: | arXiv, gr-qc/9411047 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER