Kasner Universe in Creation-Field Cosmology

ABSTRACT

We have studied the Hoyle-Narlikar C-field cosmology with Kasner [1,2] space-time. Using methods of Narlikar and Padmanabhan [3], the solutions have been studied when the creation field C is a function of time t only. The geometrical and physical properties of the models, thus obtained, are also studied.

We have studied the Hoyle-Narlikar C-field cosmology with Kasner [1,2] space-time. Using methods of Narlikar and Padmanabhan [3], the solutions have been studied when the creation field C is a function of time t only. The geometrical and physical properties of the models, thus obtained, are also studied.

Cite this paper

nullK. Adhav, M. Dawande, M. Desale and R. Raut, "Kasner Universe in Creation-Field Cosmology,"*Journal of Modern Physics*, Vol. 1 No. 3, 2010, pp. 190-195. doi: 10.4236/jmp.2010.13028.

nullK. Adhav, M. Dawande, M. Desale and R. Raut, "Kasner Universe in Creation-Field Cosmology,"

References

[1] E. Kasner, “Geometrical Theorem on Einstein’s Cosmological Equations,” American Journal of Mathematics, Vol. 43, No. 2, 1921, pp. 217-221.

[2] E. Kasner, “An Algebraic Solution of the Einstein Equations,” Transactions of the American Mathematical Society, Vol. 27, No. 1, 1925, pp. 101-105.

[3] J. V. Narlikar and T. Padmanabhan, “Creation-Field Co- smology: A Possible Solution to Singularity, Horizon, and Flatness Problems,” Physical Review D, Vol. 32, No. 8, 1985, pp. 1928-1934.

[4] G. F. Smoot, et al., “Structure in the COBE Differential Microwave Radiometer First-Year Maps,” Astrophysical Journal, Vol. 396, No. 1, 1992, pp. 21-25.

[5] J. V. Narlikar, et al., “Inhomogeneities in the Microwave Background Radiation Interpreted within the Framework of the Quasi-Steady State Cosmology,” Astrphysical Journal, Vol. 585, No. 3, 2003, pp. 1-11.

[6] F. Hoyle, “A New Model for the Expanding Universe,” Monthly Notices of the Royal Astronomical Society, Vol. 108, No. 1748, 1948, pp. 372-382.

[7] H. Bondi and T. Gold, “The Steady-State Theory of the Expanding Universe,” Monthly Notices of the Royal Astr- onomical Society, Vol. 108, No. 3, 1948, pp. 252-270.

[8] F. Hoyle and J. V. Narlikar, “A Radical Departure from the ‘Steady-State’ Concept in Cosmology,” Proeedings of Royal Society (London) A, Vol. 290, No. 1421, 1966, pp. 162-176.

[9] F. Hoyle and J. V. Narlikar, “Mach’s Principle and the Creation of Matter,” Proceedings of Royal Society (London) A, Vol. 273, No. 1352, 1963, pp. 1-11.

[10] F. Hoyle and J. V. Narlikar “The C-Field as a Direct Particle Field,” Proceedings of Royal Society (London) A, Vol. 282, No. 1389, 1964, pp. 178-183.

[11] S. Chatterjee and A. Banerjee, “C-Field Cosmology in Higher Dimensions,” General Relativity Gravitation, Vol. 36, No. 2, 2004, pp. 303-313.

[12] R. Bali and R. S. Tikekar, “C-Field Cosmology with Variable G in the Flat Friedmann-Robertson-Walker Model,” Chinese Physics Letters, Vol. 24, No. 11, 2007, pp. 3290-3292.

[13] R. Bali and M. Kumawat, “C-Field Cosmological Models with Variable G In FRW Space-Time,” International Journal of Theoretical Physics, Vol. 48, No. 3, 2009, pp. 3410-3415

[14] T. Singh and R. Chaubey, “Bianchi type-I, III, V, VI and Kantowski-Sachs Universes in Creation-Field Cosmology,” Astrophysical Space Scence, Vol. 321, No. 1, 2009, pp. 5-18.

[1] E. Kasner, “Geometrical Theorem on Einstein’s Cosmological Equations,” American Journal of Mathematics, Vol. 43, No. 2, 1921, pp. 217-221.

[2] E. Kasner, “An Algebraic Solution of the Einstein Equations,” Transactions of the American Mathematical Society, Vol. 27, No. 1, 1925, pp. 101-105.

[3] J. V. Narlikar and T. Padmanabhan, “Creation-Field Co- smology: A Possible Solution to Singularity, Horizon, and Flatness Problems,” Physical Review D, Vol. 32, No. 8, 1985, pp. 1928-1934.

[4] G. F. Smoot, et al., “Structure in the COBE Differential Microwave Radiometer First-Year Maps,” Astrophysical Journal, Vol. 396, No. 1, 1992, pp. 21-25.

[5] J. V. Narlikar, et al., “Inhomogeneities in the Microwave Background Radiation Interpreted within the Framework of the Quasi-Steady State Cosmology,” Astrphysical Journal, Vol. 585, No. 3, 2003, pp. 1-11.

[6] F. Hoyle, “A New Model for the Expanding Universe,” Monthly Notices of the Royal Astronomical Society, Vol. 108, No. 1748, 1948, pp. 372-382.

[7] H. Bondi and T. Gold, “The Steady-State Theory of the Expanding Universe,” Monthly Notices of the Royal Astr- onomical Society, Vol. 108, No. 3, 1948, pp. 252-270.

[8] F. Hoyle and J. V. Narlikar, “A Radical Departure from the ‘Steady-State’ Concept in Cosmology,” Proeedings of Royal Society (London) A, Vol. 290, No. 1421, 1966, pp. 162-176.

[9] F. Hoyle and J. V. Narlikar, “Mach’s Principle and the Creation of Matter,” Proceedings of Royal Society (London) A, Vol. 273, No. 1352, 1963, pp. 1-11.

[10] F. Hoyle and J. V. Narlikar “The C-Field as a Direct Particle Field,” Proceedings of Royal Society (London) A, Vol. 282, No. 1389, 1964, pp. 178-183.

[11] S. Chatterjee and A. Banerjee, “C-Field Cosmology in Higher Dimensions,” General Relativity Gravitation, Vol. 36, No. 2, 2004, pp. 303-313.

[12] R. Bali and R. S. Tikekar, “C-Field Cosmology with Variable G in the Flat Friedmann-Robertson-Walker Model,” Chinese Physics Letters, Vol. 24, No. 11, 2007, pp. 3290-3292.

[13] R. Bali and M. Kumawat, “C-Field Cosmological Models with Variable G In FRW Space-Time,” International Journal of Theoretical Physics, Vol. 48, No. 3, 2009, pp. 3410-3415

[14] T. Singh and R. Chaubey, “Bianchi type-I, III, V, VI and Kantowski-Sachs Universes in Creation-Field Cosmology,” Astrophysical Space Scence, Vol. 321, No. 1, 2009, pp. 5-18.