Electrovac universes with a cosmological constant

• Autorzy: Nelson Posada-Aguirre , Davide Batic
• Języki publikacji: EN

Abstrakty

EN

We present the extension of the Einstein-Maxwell system called electrovac universes by introducing a cosmological constant Λ. In the absence of the Λ term, the crucial equation in solving the Einstein-Maxwell system is the Laplace equation. The cosmological constant modifies this equation to become in a nonlinear partial differential equation which takes the form ΔU =2ΛU 3. We offer special solutions of this equation.

Słowa kluczowe

EN

Einstein-Maxwell system; comformastat metric; electrovac universes; cosmological constant

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 5
• Strony: 297-304

Daty

wydano

2014-05-01

online

2014-05-08

Twórcy

autor

Nelson Posada-Aguirre

• Department of Physics and Astronomy, University of South Carolina, 712 Main Street, Columbia, SC, 29208, USA,

autor

Davide Batic

• Department of Mathematics, The University of The West Indies, Mona, Jamaica,

Bibliografia

• [1] G. Y. Rainich, T. Am. Math. Soc. 27, 106 (1925) http://dx.doi.org/10.1090/S0002-9947-1925-1501302-6[Crossref]
• [2] C. W. Misner, J. A. Wheeler, Ann. Phys. 2, 525 (1957) http://dx.doi.org/10.1016/0003-4916(57)90049-0[Crossref]
• [3] S. D. Majumdar, Phys. Rev. 72, 390 (1947) http://dx.doi.org/10.1103/PhysRev.72.390[Crossref]
• [4] A. Papapetrou, Proc. R. Ir. Acad. Sect. A 51, 191 (1947)
• [5] J. L. Synge, The General Theory (North-Holland, Amsterdam, 1960)
• [6] A. K. Raychaudhuri, S. Banerji, A. Banerjee, General Relativity, Astrophysics and Cosmology (Springer-Verlag, New York, 1992) http://dx.doi.org/10.1007/978-1-4612-2754-0[Crossref]
• [7] L. M. Krauss, Astrophys. J. 501, 461 (1998) http://dx.doi.org/10.1086/305846[Crossref]
• [8] S. Perlmutter, M. S. Turner, M. J. White, Phys. Rev. Lett. 83, 670 (1999) http://dx.doi.org/10.1103/PhysRevLett.83.670[Crossref]
• [9] A. G. Riess et al., Astrophys. J. 607, 665 (2004) http://dx.doi.org/10.1086/383612[Crossref]
• [10] D. J. Eisenstein et al., Astrophys. J. 633, 560 (2005) http://dx.doi.org/10.1086/466512[Crossref]
• [11] M. Nowakowski, Int. J. Mod. Phys. D 10, 649 (2001) http://dx.doi.org/10.1142/S0218271801001189[Crossref]
• [12] A. Balaguera-Antolinez, C. G. Boehmer, M. Nowakowski, Class. Quant. Grav. 23, (2006) 485 http://dx.doi.org/10.1088/0264-9381/23/2/013[Crossref]
• [13] J. B. Hartle, Gravity (Addison-Wesley, San Francisco, 2003)
• [14] A. D. Polyanin, V. F. Zaitsev, Handbook of Nonlinear Partial Differential Equations (Chapman and Hall, Boca Raton, 2004)
• [15] A. D. Polyanin, V. F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations (Chapman Adan Hall, Boca Raton, 2003)

Identyfikatory

DOI

10.2478/s11534-014-0458-7