Abstract.
This paper aims to investigate some dynamical properties of a plane symmetric spacetime filled with anisotropic fluid having dissipative effects, whose congruence is described by the four-velocity of a tilted observer. We develop the relationships between tilted and non-tilted variables and some physical quantities for this plane symmetry. The corresponding inhomogeneity factor for the energy density and its evolution is found. Finally, we discuss the stability of the non-tilted congruence.
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References
D.D. Pawar, S.W. Bhaware, A.G. Deshmukh, Rom. J. Phys. 54, 187 (2009)
A.H. Taub, Phys. Rev. 103, 454 (1956)
N. Tomimura, Nuovo Cimento B 44, 372 (1978)
T. Zannias, Phys. Rev. D 41, 3252 (1990)
R. Bali, A. Tyagi, Astrophys. Space Sci. 173, 233 (1990)
L. Herrera, J. Ospino, A. Di Prisco, E. Fuenmayor, O. Troconis, Phys. Rev. D 79, 064025 (2009)
M. Sharif, M.Z. Bhatti, Mod. Phys. Lett. A 27, 1250141 (2012)
W. Israel, J. Stewart, Phys. Lett. A 58, 213 (1976)
M. Sharif, M.Z. Bhatti, Gen. Relativ. Gravit. 44, 2811 (2012)
H. Stephani, Introduction to General Relativity (Cambridge University Press, 1982)
M.L. Bedran, M.O. Calvao, Class. Quantum Grav. 10, 767 (1993)
J. Triginer, D. Pavon, Class. Quantum Grav. 12, 199 (1995)
L. Herrera, A. Di Prisco, J. Ibáñez, Phys. Lett. A 376, 899 (2012)
A.A. Cooley, S.R. Czapor, Class. Quantum Grav. 9, 1787 (1992)
L. Herrera, A. Di Prisco, J. Ospino, J. Carot, Phys. Rev. D 82, 024021 (2010)
L. Herrera, A. Di Prisco, J. Ospino, Gen. Relativ. Gravit. 42, 1585 (2010)
L. Herrera, A. Di Prisco, J. Ibáñez, Phys. Rev. D 84, 064036 (2011)
M. Sharif, A. Majid, Astrophys. Space Sci. 348, 583 (2013)
R. Penrose, S.W. Hawking, W. Israel, General Relativity, An Einstein Centenary Survey (Cambridge University Press, 1979)
L. Herrera, A. Di Prisco, J. Hernández-Pastora, N.O. santos, Phys. Lett. A 237, 113 (1998)
M. Sharif, Z. Yousaf, Can. J. Phys. 90, 865 (2012)
M. Sharif, Z. Yousaf, Int. J. Mod. Phys. D 21, 1250095 (2012)
L. Herrera, A. Di Prisco, E. Fuenmayor, O. Troconis, Int. J. Mod. Phys. D 18, 129 (2009)
L. Herrera, Int. J. Mod. Phys. D 20, 1689 (2011)
L. Herrera, A. Di Prisco, J. Ibáñez, J. Ospino, Phys. Rev. D 87, 084014 (2013)
M. Sharif, M.Z. Bhatti, Astrophys. Space Sci. (2013) DOI: 10.1007/s10509-013-1690-0
L. Herrera, Int. J. Mod. Phys. D 15, 2197 (2006)
L. Herrera, A. Di Prisco, J. Hernández-Pastora, J. Martín, J. Martínez, Class. Quantum Grav. 14, 22 (1997)
L. Herrera, Int. J. Mod. Phys. D 15, 2197 (2006)
M. Sharif, Z. Rehmat, Gen. Relativ. Gravit. 42, 1795 (2010)
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Sharif, M., Tahir, H. Dynamical properties of the tilted plane symmetric spacetime. Eur. Phys. J. Plus 128, 146 (2013). https://doi.org/10.1140/epjp/i2013-13146-5
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DOI: https://doi.org/10.1140/epjp/i2013-13146-5