Scale Invariant Theory of Gravitation in Einstein-Rosen Space-Time

ABSTRACT

In this paper, we have studied the perfect fluid distribution in the scale invariant theory of gravitation, when the space-time described by Einstein-Rosen metric with a time dependent gauge function. The cosmological equations for this space-time with gauge function are solved and some physical properties of the model are studied.

In this paper, we have studied the perfect fluid distribution in the scale invariant theory of gravitation, when the space-time described by Einstein-Rosen metric with a time dependent gauge function. The cosmological equations for this space-time with gauge function are solved and some physical properties of the model are studied.

Cite this paper

nullB. Mishra, P. Sahoo and A. Ramu, "Scale Invariant Theory of Gravitation in Einstein-Rosen Space-Time,"*Journal of Modern Physics*, Vol. 1 No. 3, 2010, pp. 185-189. doi: 10.4236/jmp.2010.13027.

nullB. Mishra, P. Sahoo and A. Ramu, "Scale Invariant Theory of Gravitation in Einstein-Rosen Space-Time,"

References

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[2] K. Nordverdt, Jr., “Post Newtonian Metric for a General Class of Scalar—Tensor Gravitational Theories and Observational Consequences,” The Astrophysical Journal, Vol. 161, 1970, pp. 1059-1067.

[3] R. V. Wagoner, “Scalar—Tensor Theory and Gravitational Waves”, Physical Review D, Vol. 1, No. 2, 1970, pp. 3209-3216.

[4] D. K. Ross, “Scalar—Tensor Theory of Gravitation,” Physical Review D, Vol. 5, No. 2, 1972, pp. 284-192.

[5] K. A. Dunn, “A Scalar—Tensor Theory of Gravitation,” Journal of Mathematical Physics, Vol. 15, No. 12, 1974, pp. 2229-2231.

[6] D. Saez and V. J. Ballester, “A Simple Coupling with Cosmological Implications,” Physics Letters A, Vol. A113, No. 9, 1985, pp. 467-470.

[7] V. Canuto, S. H. Hseih and P. J. Adams, “Scale —Covariant Theory of Gravitation and Astrophysical Applications,” Physics Review Letters, Vol. 39, No. 88, 1977, pp. 429- 432

[8] P. A. M. Dirac, “Long Range Forces and Broken Symmetries,” Proceedings of the Royal Society of London, Vol. A333, 1973, pp. 403-418.

[9] P. A. M. Dirac, “Cosmological Models and the Large Number Hypothesis,” Proceedings of the Royal Society of London, Vol. A338, No. 1615, 1974, pp. 439-446.

[10] F. Hoyle and J. V. Narlikar, “Action at a Distance in Physics and Cosmology,” W. H. Freeman, San Francisco, 1974.

[11] P. S. Wesson, “Gravity, Particle and Astrophysics,” D. Reidel, Dordrecht, 1980.

[12] P. S. Wesson, “Scale—Invariant Gravity—A Reformulation and an Astrophysical Test,” Monthly Notices of the Royal Astronomical Society, Vol. 197, 1981, pp. 157-165.

[13] G. Mohanty and B. Mishra, “Scale Invariant Theory for Bianchi Type VIII and IX Space-times with Perfect Fluid,” Astrophysics and Space Science, Vol. 283, No. 1, 2003, pp. 67-74.

[14] B. Mishra, “Non-Static Plane Symmetric Zeldovich Fluid Model in Scale Invariant Theory,” Chinese Physics Letters, Vol. 21, No. 12, 2004, pp. 2359-2361.

[15] B. Mishra, “Static Plane Symmetric Zeldovich Fluid Model in Scale Invariant Theory,” Turkish Journal of Physics, Vol. 32, No. 6, 2008, pp. 357-361.

[16] J. R. Rao, A. R. Roy and R. N. Tiwari, “A Class of Exact Solutions for Coupled Electromagnetic and Scalar Fields for Einstein Rosen Metric I,” Annals of Physics, Vol. 69, No. 2, 1972, pp. 473-486.

[17] J. R. Rao, R. N. Tiwari and K. S. Bhamra, “Cylindrical Symmetric Brans-Dicke Fields II”, Annals of Physics, Vol. 87, 1974, pp. 480-497.

[18] J. J. Bloome and W. Priester, “Urknall und Evolution Des. Kosmos II,” Naturewissenshaften, Vol. 2, 1984, pp. 528- 531.

[19] P. C. W. Davies, “Mining the Universe,” Physical Review D, Vol. 30, No. 4, 1984, pp. 737-742.

[20] C. J. Hogan, “Microwave Background Anisotropy and Hydrodynamic Formation of Large-Scale Structure,” Astrophysical Journal, Vol. 310, 1984, p. 365.

[21] N. Kaiser and A. Stebbins, “Microwave Anisotropy Due to Cosmic Strings,” Nature, Vol. 310, No. 5976, 1984, pp. 391- 393.

[22] A. Raychaudhuri, Theoretical Cosmology, Oxford University Press, 1979.

[1] C. H. Brans and R. H. Dicke, “Mach’s Principle and a Relativistic Theory of Gravitation,” Physical Review A, Vol. 124, No. 3, 1961, pp. 925-935.

[2] K. Nordverdt, Jr., “Post Newtonian Metric for a General Class of Scalar—Tensor Gravitational Theories and Observational Consequences,” The Astrophysical Journal, Vol. 161, 1970, pp. 1059-1067.

[3] R. V. Wagoner, “Scalar—Tensor Theory and Gravitational Waves”, Physical Review D, Vol. 1, No. 2, 1970, pp. 3209-3216.

[4] D. K. Ross, “Scalar—Tensor Theory of Gravitation,” Physical Review D, Vol. 5, No. 2, 1972, pp. 284-192.

[5] K. A. Dunn, “A Scalar—Tensor Theory of Gravitation,” Journal of Mathematical Physics, Vol. 15, No. 12, 1974, pp. 2229-2231.

[6] D. Saez and V. J. Ballester, “A Simple Coupling with Cosmological Implications,” Physics Letters A, Vol. A113, No. 9, 1985, pp. 467-470.

[7] V. Canuto, S. H. Hseih and P. J. Adams, “Scale —Covariant Theory of Gravitation and Astrophysical Applications,” Physics Review Letters, Vol. 39, No. 88, 1977, pp. 429- 432

[8] P. A. M. Dirac, “Long Range Forces and Broken Symmetries,” Proceedings of the Royal Society of London, Vol. A333, 1973, pp. 403-418.

[9] P. A. M. Dirac, “Cosmological Models and the Large Number Hypothesis,” Proceedings of the Royal Society of London, Vol. A338, No. 1615, 1974, pp. 439-446.

[10] F. Hoyle and J. V. Narlikar, “Action at a Distance in Physics and Cosmology,” W. H. Freeman, San Francisco, 1974.

[11] P. S. Wesson, “Gravity, Particle and Astrophysics,” D. Reidel, Dordrecht, 1980.

[12] P. S. Wesson, “Scale—Invariant Gravity—A Reformulation and an Astrophysical Test,” Monthly Notices of the Royal Astronomical Society, Vol. 197, 1981, pp. 157-165.

[13] G. Mohanty and B. Mishra, “Scale Invariant Theory for Bianchi Type VIII and IX Space-times with Perfect Fluid,” Astrophysics and Space Science, Vol. 283, No. 1, 2003, pp. 67-74.

[14] B. Mishra, “Non-Static Plane Symmetric Zeldovich Fluid Model in Scale Invariant Theory,” Chinese Physics Letters, Vol. 21, No. 12, 2004, pp. 2359-2361.

[15] B. Mishra, “Static Plane Symmetric Zeldovich Fluid Model in Scale Invariant Theory,” Turkish Journal of Physics, Vol. 32, No. 6, 2008, pp. 357-361.

[16] J. R. Rao, A. R. Roy and R. N. Tiwari, “A Class of Exact Solutions for Coupled Electromagnetic and Scalar Fields for Einstein Rosen Metric I,” Annals of Physics, Vol. 69, No. 2, 1972, pp. 473-486.

[17] J. R. Rao, R. N. Tiwari and K. S. Bhamra, “Cylindrical Symmetric Brans-Dicke Fields II”, Annals of Physics, Vol. 87, 1974, pp. 480-497.

[18] J. J. Bloome and W. Priester, “Urknall und Evolution Des. Kosmos II,” Naturewissenshaften, Vol. 2, 1984, pp. 528- 531.

[19] P. C. W. Davies, “Mining the Universe,” Physical Review D, Vol. 30, No. 4, 1984, pp. 737-742.

[20] C. J. Hogan, “Microwave Background Anisotropy and Hydrodynamic Formation of Large-Scale Structure,” Astrophysical Journal, Vol. 310, 1984, p. 365.

[21] N. Kaiser and A. Stebbins, “Microwave Anisotropy Due to Cosmic Strings,” Nature, Vol. 310, No. 5976, 1984, pp. 391- 393.

[22] A. Raychaudhuri, Theoretical Cosmology, Oxford University Press, 1979.