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On certain relationships between cosmological observables in the Einstein-Cartan gravity

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Il Nuovo Cimento B (1971-1996)

Summary

We show that if one takes into account Penrose’s conformai technique in the Einstein-Cartan gravity, it is possible to obtain a relation between Hubble’s expansion and Birch’s rotation of the Universe at space-like infinity. This relation also leads to the final reduction of the gravitational coupling to a dimensionless quantity of order unity at space-like infinity. Initial-value equations at space-like infinity in the Einstein-Cartan gravity can be used as a starting point to study the structure formation and evolution of the Universe with Ω = 1. Current measurements of the expansion and rotation of the Universe favour the massive spinning particle as a candidate particle for dark matter.

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References

  1. Kibble T. W. B.,J. Math. Phys.,2 (1961) 212.

    Article  MathSciNet  ADS  Google Scholar 

  2. Sci.ama D. W.,J. Math. Phys.,2 (1961) 472.

    Article  MathSciNet  ADS  Google Scholar 

  3. Hehl F. W.,Gen. Relativ. Gravit,4 (1973) 333; 5 (1974) 491.

    Article  MathSciNet  ADS  Google Scholar 

  4. Trautman A.,Bull Acad. Pol Sci., Ser. Sci. Math. Astron. Phys.,20 (1972) 185.

    MathSciNet  Google Scholar 

  5. Kopczyński W.,Phys. Lett. A,39 (1972) 219;Tafel J.,Phys. Lett. A,45 (1973) 341;Raychaudhuri A. K.,Phys. Rev. D,12 (1975) 952;Kuchowicz B.,Acta Cosmol.,4 (1976) 67.

    Article  ADS  Google Scholar 

  6. Bedran M. L., Vasconcellos Vaidya E. P. andSom M. M.,Nuovo Cimento B,87 (1985) 101.

    Article  ADS  Google Scholar 

  7. Obukhov Yu. N. andKorotky V. A.,Class. Quantum Grav.,4 (1987) 1633.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Penrose R.,Phys. Rev. Lett,14 (1965) 57;Hawking S. W.,Proc. R. Soc. London, Ser. A, 300 (1967) 187;Geroch R.,Phys. Rev. Lett,17 (1966) 445.

    Article  MathSciNet  ADS  Google Scholar 

  9. Gödel K.,Rev. Mod. Phys.,21 (1949) 447.

    Article  ADS  Google Scholar 

  10. Birch P.,Nature,298 (1982) 451; 301 (1983) 736;Kendall D. G. andYoung G. A.,Mon. Not R. Astron. Soc.,207 (1984) 637;Andreasyan R. R.,Astrophysics,24 (1986) 213.

    Article  ADS  MATH  Google Scholar 

  11. Penrose R.,Proc. R. Soc. London, Ser. A,284 (1965) 159.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Geroch R.,J. Math. Phys.,13 (1972) 956.

    Article  MathSciNet  ADS  Google Scholar 

  13. O’Murchadha N. andYork J. W. jr.,Phys. Rev. D,10 (1974) 2345.

    Article  ADS  Google Scholar 

  14. Schouten J. A.,Ricci-Calculus (Springer-Verlag, Berlin) 1954.

    Book  MATH  Google Scholar 

  15. Weinberg S.,Gravitation and Cosmology (John Wiley & Sons, New York, N.Y.) 1972.

    Google Scholar 

  16. Sciama D. W.,Mon. Not. R. Astron. Soc.,113 (1953) 34;Dicke R. H.,Science,129 (1959) 621.

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Palle, D. On certain relationships between cosmological observables in the Einstein-Cartan gravity. Nuov Cim B 111, 671–675 (1996). https://doi.org/10.1007/BF02743397

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  • DOI: https://doi.org/10.1007/BF02743397

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