Stationary rotating matter in general relativity

Journal of Mathematical Physics

Volumn 38, Issue 10, 1997, Pages 5280-5292

  Marklund, Mattias ^a   Perjés, Zoltán ^b  

^a UMEÅ UNIVERSITY   (Sweden)

^b WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031534150     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531941     Document Type: Article

References (20)

1. D. Kramer, H. Stephani, E. Herlt, and M. MacCallum, Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge, 1980).
2. F. J. Chinea, Class. Quantum Grav. 10, 2539 (1993).
3. F. J. Chinea and L. M. González-Romero, Class. Quantum Grav. 9, 1271 (1992).
4. J. M. M. Senovilla, Class. Quantum Grav. 9, L167 (1992).
5. G. Neugebauer and R. Meinel, Astrophys. J. 414, L97 (1993).
6. Z. Perjés, in Quantum Gravity 3, edited by M. A. Markov (World Scientific, Singapore, 1985).
7. ji jk.
8. Vectors in the tangent 3-space are set in boldface. A dot notation (·) is used for a scalar product with respect to the 3-metric.
9. W. Simon, Gen. Relativ. Gravit. 16, 465 (1984).
10. D. Kramer, Class. Quantum Grav. 2, L135 (1985).
11. Component indices in the basis (11) are set in boldface.
12. φ=0.
13. |v =0.
14. K. S. Thorne, in General Relativity and Cosmology, edited by R. K. Sachs (Academic, New York, 1971), p. 248.
15. For a rigidly rotating fluid (uφ=0), we obtain from the Bianchi identities (27) and their integrability conditions that φ and p are both functionals of r alone.
16. H. Stephani and R. Grosso, in Relativity Today, edited by Z. Perjés (Nova Science, New York, 1992).
17. A. Abramowicz, Acta Astron. 21, 81 (1971).
18. i.
19. For a rigidly rotating fluid (ε=0), it follows from here that F is a constant.
20. G. Fodor, M. Marklund, and Z. Perjés (unpublished).