Some Static Isotropic Perfect Fluid Spheres in General Relativity
In the present article, a new class of solutions of
Einstein field equations is investigated for a spherically symmetric
space-time when the source of gravitation is a perfect fluid. All the
solutions have been derived by making some suitable arrangements
in the field equations. The solutions so obtained have been seen to
describe Schwarzschild interior solutions. Most of the solutions are
subjected to the reality conditions. As far as the authors are aware the
solutions are new.
[1] Barrow, J.D., Kunze, K.E.: Phys. Rev. D 56, 741 (1997)
[2] Barrow, J.D., Kunze, K.E.: Phys. Rev. D 57, 2255 (1998)
[3] Baysal, H., Yavuz, I., Camci, U., Yilmaz, I.: Turk. J. Phys. 25, 283
(2001)
[4] Bondi, H.: Mon. Not. R. Astron. Soc. 107, 410 (1947)
[5] Dadhich, N., Tikekar, R., Patel, L.K.: Curr. Sci. 65, 694 (1993)
[6] Kandalkar, S.P., Gawande, S.P.: Astrophys Space Sci. 318, 263-267
(2008)
[7] Kilinc, C.B., Yavuz, I.: Astrophys Space Sci. 238, 239 (2007)
[8] Patel, L.K., Tikekar, R., Dadhich, N.: Pramana - J. Phys. 49, 213 (1993)
[9] Pradhan, A.: Fizika B 16, 205 (2007)
[10] Pradhan, A., Chakraborty, I., Saste, N.N.: Int. J. Mod. Phys. D 10, 741
(2001)
[11] Pradhan, A., Singh, P.K., Jotania, K.: Czech. J. Phys. 56, 641 (2006)
[12] Pradhan, A., Yadav, A.K., Singh, R.P., Singh, V.K.: Astrophys Space
Sci. 312, 3 (2007)
[13] Pradhan, A., Jotania, K., Singh, A.: Braz. J. Phys. 38, 167 (2008)
[14] Ruiz, E., Senovilla, J.M.M.: Phys. Rev. D 45, 1995 (1990)
[15] Senovilla, J.M.M.: Phys. Rev. Lett. 64, 2219 (1990)
[16] Senovilla, J.M.M.: Phys. Rev. Lett. 81, 5032 (1998)
[17] Senovilla, J.M.M.: Pramana - J. Phys. 69, 31 (2007)
[18] Tolman, R.C.: Proc. Nat. Acad. Sci. 20, 169 (1934)
[1] Barrow, J.D., Kunze, K.E.: Phys. Rev. D 56, 741 (1997)
[2] Barrow, J.D., Kunze, K.E.: Phys. Rev. D 57, 2255 (1998)
[3] Baysal, H., Yavuz, I., Camci, U., Yilmaz, I.: Turk. J. Phys. 25, 283
(2001)
[4] Bondi, H.: Mon. Not. R. Astron. Soc. 107, 410 (1947)
[5] Dadhich, N., Tikekar, R., Patel, L.K.: Curr. Sci. 65, 694 (1993)
[6] Kandalkar, S.P., Gawande, S.P.: Astrophys Space Sci. 318, 263-267
(2008)
[7] Kilinc, C.B., Yavuz, I.: Astrophys Space Sci. 238, 239 (2007)
[8] Patel, L.K., Tikekar, R., Dadhich, N.: Pramana - J. Phys. 49, 213 (1993)
[9] Pradhan, A.: Fizika B 16, 205 (2007)
[10] Pradhan, A., Chakraborty, I., Saste, N.N.: Int. J. Mod. Phys. D 10, 741
(2001)
[11] Pradhan, A., Singh, P.K., Jotania, K.: Czech. J. Phys. 56, 641 (2006)
[12] Pradhan, A., Yadav, A.K., Singh, R.P., Singh, V.K.: Astrophys Space
Sci. 312, 3 (2007)
[13] Pradhan, A., Jotania, K., Singh, A.: Braz. J. Phys. 38, 167 (2008)
[14] Ruiz, E., Senovilla, J.M.M.: Phys. Rev. D 45, 1995 (1990)
[15] Senovilla, J.M.M.: Phys. Rev. Lett. 64, 2219 (1990)
[16] Senovilla, J.M.M.: Phys. Rev. Lett. 81, 5032 (1998)
[17] Senovilla, J.M.M.: Pramana - J. Phys. 69, 31 (2007)
[18] Tolman, R.C.: Proc. Nat. Acad. Sci. 20, 169 (1934)
@article{"International Journal of Engineering, Mathematical and Physical Sciences:53563", author = "Sachin Kumar and Y. K. Gupta and J. R. Sharma", title = "Some Static Isotropic Perfect Fluid Spheres in General Relativity", abstract = "In the present article, a new class of solutions of
Einstein field equations is investigated for a spherically symmetric
space-time when the source of gravitation is a perfect fluid. All the
solutions have been derived by making some suitable arrangements
in the field equations. The solutions so obtained have been seen to
describe Schwarzschild interior solutions. Most of the solutions are
subjected to the reality conditions. As far as the authors are aware the
solutions are new.", keywords = "Einstein's equations, General Relativity, PerfectFluid, Spherical symmetric.", volume = "4", number = "2", pages = "242-5", }