Particle Horizons in Cosmology

Affiliation(s)

School of Mathematical and Statistical Sciences, Hawassa University, Hawassa, Ethiopia.

School of Mathematical and Statistical Sciences, Hawassa University, Hawassa, Ethiopia.

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.

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.

K. Rao, "Particle Horizons in Cosmology,"

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[2] G. C. Omer, The Astrophysical Journal, Vol. 109, 1949, p. 164.

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[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.

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[12] K. Purnachandra Rao, Mathematics Today, Vol. 17, 1999, p. 29.

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