Original article
Published 2007-04-30
Keywords
- General Relativity,
- Einstein’s equation
How to Cite
Ospino, J., Herrera, L., & Di Prisco, A. (2007). Esferas estáticas en relatividad general. Revista Integración, Temas De matemáticas, 25(1), 65–70. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/265
Abstract
Recently K. Lake has presented an algorithm that allows to obtain all the static solutions of the equations of Einstein, in the case of a perfect fluid with spherical symmetry, from one given function. This algorithm is then extended to the case of locally anisotropic fluid. Predictably, this new formalism requires knowledge of two functions instead of one. To illustrate the method some known solutions are restored.
Downloads
Download data is not yet available.
References
[1] Kayll Lake, Phys. Rev. D. 67, 104015 (2003).
[2] S. Rahman, M. Visser, Class Quantum Grav. 19, 935 (2002).
[3] L. Herrera, N.O. Santos, Phys. Rep. 286, 53 (1997).
[4] L. Herrera, A. Di Prisco, J. Martin, J. Ospino, N.O. Santos, O. Troconis, Phys. Rev. D. 69, 084026 (2004).
[5] C. Cattoen, T. Faber, M. Visser, Class. Quantum Grav. 22, 4189 (2005).
[6] A. DeBenedictis, D. Horvat, S. Ilijic, S. Kloster, K. Visswanatham, Class. Quantum Grav. 23, 2303 (2006).
[7] G. Bohmer, T. Harko, Class. Quantum Grav. 23, 6479 (2006).
[8] W. Barreto, B. Rodríguez, L. Rosales, O. Serrano, Gen. Rel. Grav. 39, 23 (2007).
[9] M. Esculpi, M. Malaver, E. Aloma, Gen. Rel. Grav. 39, 633 (2007).
[10] G. Khadekar, S. Tade, Astr. Space. Sci. 310, 41 (2007).
[11] G. Bohmer, T. Harko, Mon. Not R. Astron. Soc. 379, 393 (2007).
[12] S. Karmakar, S. Mukherjee, R. Sharma, S. Maharaj, Pramana J. 68, 881 (2007).
[13] H. Abreu, H. Hernández, L.A. Núñez, Class. Quantum Grav. 24, 4631 (2007).
[14] L. Herrera, A. Di Prisco, J. Ospino, E. Fuenmayor, J. Math Phys. 42, 2199 (2001).
[15] R. Bowers, E. Liang, Astrophys. J. 188, 657 (1974).
[16] P.S. Florides, Proc. Roy. Soc. London. A337, 529 (1974).
[17] H. Hernández, L.A. Núñez, Can. J. Phys. 82, 29 (2004). 1 abril 2002.
[2] S. Rahman, M. Visser, Class Quantum Grav. 19, 935 (2002).
[3] L. Herrera, N.O. Santos, Phys. Rep. 286, 53 (1997).
[4] L. Herrera, A. Di Prisco, J. Martin, J. Ospino, N.O. Santos, O. Troconis, Phys. Rev. D. 69, 084026 (2004).
[5] C. Cattoen, T. Faber, M. Visser, Class. Quantum Grav. 22, 4189 (2005).
[6] A. DeBenedictis, D. Horvat, S. Ilijic, S. Kloster, K. Visswanatham, Class. Quantum Grav. 23, 2303 (2006).
[7] G. Bohmer, T. Harko, Class. Quantum Grav. 23, 6479 (2006).
[8] W. Barreto, B. Rodríguez, L. Rosales, O. Serrano, Gen. Rel. Grav. 39, 23 (2007).
[9] M. Esculpi, M. Malaver, E. Aloma, Gen. Rel. Grav. 39, 633 (2007).
[10] G. Khadekar, S. Tade, Astr. Space. Sci. 310, 41 (2007).
[11] G. Bohmer, T. Harko, Mon. Not R. Astron. Soc. 379, 393 (2007).
[12] S. Karmakar, S. Mukherjee, R. Sharma, S. Maharaj, Pramana J. 68, 881 (2007).
[13] H. Abreu, H. Hernández, L.A. Núñez, Class. Quantum Grav. 24, 4631 (2007).
[14] L. Herrera, A. Di Prisco, J. Ospino, E. Fuenmayor, J. Math Phys. 42, 2199 (2001).
[15] R. Bowers, E. Liang, Astrophys. J. 188, 657 (1974).
[16] P.S. Florides, Proc. Roy. Soc. London. A337, 529 (1974).
[17] H. Hernández, L.A. Núñez, Can. J. Phys. 82, 29 (2004). 1 abril 2002.