Abstract
Recent observations of distant supernovae imply, in defiance of expectations, that the universe growth is accelerating, contrary to what has always been assumed that the expansion is slowing down due to gravity. In this paper a general-relativistic cosmological theory that gives a direct relationship between distances and redshifts in an expanding universe is presented. The theory is actually a generalization of Hubble’s law taking gravity into account by means of Einstein’s theory of general relativity. The theory predicts that the universe can have three phases of expansion, decelerating, constant and accelerating, but it is shown that at present the first two cases are excluded, although in the past it had experienced them. Our theory shows that the universe now is definitely in a stage of accelerating expansion, confirming the recent experimental results.
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References
A. Friedmann: Z. Phys. 10, 377 (1922)
A. Friedmann: Z. Phys. 21, 326 (1924)
E.P. Hubble: Proc. Nat. Acad. Sci. 15, 168 (1927)
E.R Hubble: The Realm of the Nebulae (Yale University Press, New Haven 1936; reprinted by Dover Publications, New York 1958)
See, for example, A. Sommerfeld: Thermodynamics and Statistical Mechanics (Academic Press, New York 1956)
L.D. Landau, E.M. Lifshitz: The Classical Theory of Fields (Pergamon Press, Oxford 1979)
H. Ohanian, R. Ruffini: Gravitation and Spacetime (W.W. Norton, New York 1994)
M. Carmeli: Classical Fields: General Relativity and Gauge Theory (John Wiley, New York 1982)
A. Papapetrou: Lectures on General Ralativity (D. Reidel, Dordrecht, The Nether-Lands 1974)
For more details on the geometrical meaning, see D.J. Struik, Lectures on Classical Differential Geometry (Addison-Wesley, Reading, MA 1961)
M. Carmeli: Found. Phys. 25, 1029 (1995) ibid. 26, 413 (1996)
M. Carmeli: Intern. J. Theor. Phys. 36, 757 (1997)
M. Carmeli: Cosmological Special Relativity: The Large-Scale Structure of Space, Time and Velocity (World Scientific, Singapore 1997)
M. Carmeli: ‘Inflation at the Early Universe’. In: COSMO-97: First International Workshop on Particle Physics and the Early Universe, ed. L. Roszkowski (World Scientific, Singapore 1998) p. 376
M. Carmeli: ‘Inflation at the Early Universe’. In: Sources and Detection of Dark Matter in the Universe, ed. D. Cline (Elsevier, Amsterdam 1998) p. 405
M. Carmeli: ‘Aspects of Cosmological Relativity’. In: Proceedings of the Fourth Alexander Friedmann International Seminar on Gravitation and Cosmology, St. Petersburg, June 17–25, 1998, ed. Yu.N. Gnedin et al. (Russian Academy of Sciences and the State University of Campinas, Brazil 1999) pp. 155-169 reprinted in: Intern. J. Theor. Phys. 38 1993 (1999)
M Carmeli: Commun. Theor. Phys. 5, 159 (1996) ibid. 6, 45 (1997)
P.J.E. Peebles:’ status of the Big Bang Cosmology’. In: Texas/Pascos 92: Relativistic Astrophysics and Particle Cosmology, ed. C.W. Akerlof, M.A. Srednicki, Vol. 688 (The New York Academy of Sciences, New York 1993) p. 84
A.G. Riess et al.: Astron. J. 116, 1009 (1998)
C.J. Hogan, R.P. Kirshner, N.B. Suntzeff: Scien. Am. 9, 46 (January 1999)
S. Perlmutter et al.: Nature 391, 51 (1998)
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Carmeli, M., Behar, S. (2001). Cosmological Relativity: A General-Relativistic Theory for the Accelerating Expanding Universe. In: Cline, D.B. (eds) Sources and Detection of Dark Matter and Dark Energy in the Universe. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04587-9_19
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DOI: https://doi.org/10.1007/978-3-662-04587-9_19
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