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Particle Horizons in Cosmology

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DOI: 10.4236/jmp.2013.49162    8,515 Downloads   23,954 Views   Citations

ABSTRACT

The importance of investigating particle horizons in order to interpret a cosmological solution of Einstein’s field equations has been described. We have presented the formula and studied the particle horizons in some of the cosmological models presented in our earlier papers. It is well known that the Friedman-Robertson-Walker (F-R-W) models, the energy density of the free gravitational field denoted by ε, equivalently denoted by MacCallum parameter ξ, vanishes but the particle horizons exist and thus the former has no bearing on the latter. However, we have shown in our models presented herein that ε is related with particle horizons. Further, it is shown that as ε grows, the segment of the corresponding particle horizon decreases and thus the radius of the corresponding visible universe decreases.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

K. Rao, "Particle Horizons in Cosmology," Journal of Modern Physics, Vol. 4 No. 9, 2013, pp. 1194-1199. doi: 10.4236/jmp.2013.49162.

References

[1] R. C. Tolman, Proceedings of the National Academy of Sciences of USA, Vol. 20, 1934, p. 69.
[2] G. C. Omer, The Astrophysical Journal, Vol. 109, 1949, p. 164.
[3] H. Bondi, Monthly Notices of the Royal Astronomical Society, Vol. 107, 1947, p. 410.
[4] J. Krishna Rao, Current Science, Vol. 35, 1966, p. 389.
[5] J. Krishna Rao, General Relativity and Gravitation, Vol. 2, 1971, pp. 385-386. http://dx.doi.org/10.1007/BF00758157
[6] J. Krishna Rao, Journal of Physics (London), Vol. A5, 1972, p. 479.
[7] J. Krishna Rao, General Relativity and Gravitation, Vol. 2, 1973, p. 351. doi:10.1007/BF00771004
[8] J. Krishna Rao, Pramana: Journal of Physics, Vol. 34, 1990, p. 423.
[9] J. Krishna Rao, Journal of the Institute of Mathematics, Vol. 51, 1995, p. 57.
[10] K. Purnachandra Rao, Unpublished Ph.D. Thesis, Bhavnagar University, Bhavnagar, 1997.
[11] K. Purnachandra Rao, et al., Mathematics Today, Vol. 16, 1998, p. 25.
[12] K. Purnachandra Rao, Mathematics Today, Vol. 17, 1999, p. 29.
[13] K. Purnachandra Rao, Mathematics Today, Vol. 21, 2005, p. 31.
[14] K. Purnachandra Rao, Mathematics Today, Vol. 24, 2008, p. 17.
[15] K. Purnachandra Rao, Mathematics Today, Vol. 25, 2009, p. 34.
[16] K. Purnachandra Rao, Mathematics Today, Vol. 27, 2011, p. 54.
[17] M. A. H. MacCallum, In: V. D. Sabbata, Ed., The Origin and Evolution of Galaxies, World Scientific Pub. Co., 1982.
[18] M. A. H. MacCallum, In: B. R. Iyer, A. Kembhavi, J. V. Narliker and C. V. Vishveshwara, Eds., Highlights in Gravitation and Cosmology, University Press, Cambridge, 1988.
[19] A. K. Raychaudhuri, Physical Review, Vol. 98, 1955, pp. 1123-1126. doi:10.1103/PhysRev.98.1123
[20] W. Rindler, Monthly Notices of the Royal Astronomical Society, Vol. 116, 1956, p. 662.
[21] W. Rindler, “Essential Relativity: Special, General and Cosmological,” Springer-Verlag, 1977.

  
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