Tilted Bianchi Type VI0 Cosmological Model in Saez and Ballester Scalar Tensor Theory of Gravitation

Author(s)
Subrata Kumar Sahu

ABSTRACT

Tilted Bianchi type VI0 cosmological model is investigated in a new scalar tensor theory of gravitation pro-posed by Saez and Ballester (Physics Letters A 113:467, 1986). Exact solutions to the field equations are derived when the metric potentials are functions of cosmic time only. Some physical and geometrical proper-ties of the solutions are also discussed.

Tilted Bianchi type VI0 cosmological model is investigated in a new scalar tensor theory of gravitation pro-posed by Saez and Ballester (Physics Letters A 113:467, 1986). Exact solutions to the field equations are derived when the metric potentials are functions of cosmic time only. Some physical and geometrical proper-ties of the solutions are also discussed.

Cite this paper

nullS. Sahu, "Tilted Bianchi Type VI0 Cosmological Model in Saez and Ballester Scalar Tensor Theory of Gravitation,"*Journal of Modern Physics*, Vol. 1 No. 1, 2010, pp. 67-69. doi: 10.4236/jmp.2010.11008.

nullS. Sahu, "Tilted Bianchi Type VI0 Cosmological Model in Saez and Ballester Scalar Tensor Theory of Gravitation,"

References

[1] A. R. King and G. F. R. Ellis, “Tilted Homogeneous Cosmological Models,” Communications in Mathemati-cal Physics, Vol. 31, 1973, p. 209.

[2] G. F. R. Ellis and A. R. King, “Was a Big Bang a Whim-per,” Communications in Mathematical Physics, Vol. 38, 1974, p. 119.

[3] C. B. Collins and G. F. R. Ellis, “Alternatives to the Big Bang,” Physics Reports, Vol. 56, 1979, p. 65.

[4] R. Bali and K. Sharma, “Tilted Bianchi Type-I Models with Heat Conduction Filled with Disordered Radiations of Perfect Fluid in General Relativity,” Astrophysics and Space Science, Vol. 271, 2000, p. 227.

[5] R. Bali and K. Sharma, “Tilted Bianchi Type-I Dust Fluid Cosmological Model in General Relativity,” Pramana, Vol. 58, No. 3, 2002, p. 457.

[6] R. Bali and B. L. Meena, “Tilted Cosmological Models Filled with Disordered Radiations in General Relativity,” Astrophysics and Space Science, Vol. 281, 2002, p. 565.

[7] J. M. Bradely and E. Sviestins, “Some Rotating Time- Dependent Bianchi Type VIII Cosmologies with Heat Flow,” General Relativity Gravitation, Vol. 16, 1984, p. 1119.

[8] D. Saez and V. J. Ballester, “A Simple Coupling with Cosmological Implections,” Physics Letters A, Vol. 133, 1986, p. 477.

[9] T. Sing and A. K. Agrawal, “Some Bianchi Type Cos-mological Models in a New Scalar-Tensor Theory,” As-trophysics and Space Science, Vol. 182, 1991, p. 289.

[10] D. R. K. Reddy and N. V. Rao, “Some Cosmological Models in Scalar-Tensor Theory of Gravitation,” Astro-physics and Space Science, Vol. 277, 2001, p. 461.

[11] D. R. K. Reddy, R. L. Naidu and V. U. M. Rao, “Axially Symmetric Cosmic Strings in a Scalar Tensor Theory,” Astrophysics and Space Science, Vol. 306, 2006, p. 185.

[12] G. Mohanty and S. K. Sahu, “Bianchi Type-I Cosmo-logical Effective Stiff Fluid Model in Saez and Ballester Theory,” Astrophysics and Space Science, Vol. 291, 2004, p. 75.

[13] G. Mohanty and S. K. Sahu, “Effective Stiff Fluid Model in Scalar-Tensor Theory Proposed by Saez and Balles-ter,” Communications in Physics, Vol. 14, No. 3, 2004, p. 178.

[14] K. S. Adhav, M. R. Ugale, C. B. Kale and M. P. Bhende, “Bianchi Type VI Sring Cosmological Model in Saez and Ballester’s Scalar Tensor Gravitation,” International Journal of Theoretical Physics, Vol. 46, 2007, p. 3122.

[15] S. K. Tripathy, S. K. Nayak, S. K. Sahu and T. R. Rou-tray, “String Cloud Cosmologies for Bianchi Type-III Models with Electromagnetic Field,” Astrophysics and Space Science, Vol. 315, 2008, p. 105.

[1] A. R. King and G. F. R. Ellis, “Tilted Homogeneous Cosmological Models,” Communications in Mathemati-cal Physics, Vol. 31, 1973, p. 209.

[2] G. F. R. Ellis and A. R. King, “Was a Big Bang a Whim-per,” Communications in Mathematical Physics, Vol. 38, 1974, p. 119.

[3] C. B. Collins and G. F. R. Ellis, “Alternatives to the Big Bang,” Physics Reports, Vol. 56, 1979, p. 65.

[4] R. Bali and K. Sharma, “Tilted Bianchi Type-I Models with Heat Conduction Filled with Disordered Radiations of Perfect Fluid in General Relativity,” Astrophysics and Space Science, Vol. 271, 2000, p. 227.

[5] R. Bali and K. Sharma, “Tilted Bianchi Type-I Dust Fluid Cosmological Model in General Relativity,” Pramana, Vol. 58, No. 3, 2002, p. 457.

[6] R. Bali and B. L. Meena, “Tilted Cosmological Models Filled with Disordered Radiations in General Relativity,” Astrophysics and Space Science, Vol. 281, 2002, p. 565.

[7] J. M. Bradely and E. Sviestins, “Some Rotating Time- Dependent Bianchi Type VIII Cosmologies with Heat Flow,” General Relativity Gravitation, Vol. 16, 1984, p. 1119.

[8] D. Saez and V. J. Ballester, “A Simple Coupling with Cosmological Implections,” Physics Letters A, Vol. 133, 1986, p. 477.

[9] T. Sing and A. K. Agrawal, “Some Bianchi Type Cos-mological Models in a New Scalar-Tensor Theory,” As-trophysics and Space Science, Vol. 182, 1991, p. 289.

[10] D. R. K. Reddy and N. V. Rao, “Some Cosmological Models in Scalar-Tensor Theory of Gravitation,” Astro-physics and Space Science, Vol. 277, 2001, p. 461.

[11] D. R. K. Reddy, R. L. Naidu and V. U. M. Rao, “Axially Symmetric Cosmic Strings in a Scalar Tensor Theory,” Astrophysics and Space Science, Vol. 306, 2006, p. 185.

[12] G. Mohanty and S. K. Sahu, “Bianchi Type-I Cosmo-logical Effective Stiff Fluid Model in Saez and Ballester Theory,” Astrophysics and Space Science, Vol. 291, 2004, p. 75.

[13] G. Mohanty and S. K. Sahu, “Effective Stiff Fluid Model in Scalar-Tensor Theory Proposed by Saez and Balles-ter,” Communications in Physics, Vol. 14, No. 3, 2004, p. 178.

[14] K. S. Adhav, M. R. Ugale, C. B. Kale and M. P. Bhende, “Bianchi Type VI Sring Cosmological Model in Saez and Ballester’s Scalar Tensor Gravitation,” International Journal of Theoretical Physics, Vol. 46, 2007, p. 3122.

[15] S. K. Tripathy, S. K. Nayak, S. K. Sahu and T. R. Rou-tray, “String Cloud Cosmologies for Bianchi Type-III Models with Electromagnetic Field,” Astrophysics and Space Science, Vol. 315, 2008, p. 105.