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Ultrabaric relativistic superfluids

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Lettere al Nuovo Cimento (1971-1985)

Summary

Relativistic superfluids are of interest in extreme astrophysical or cosmological situations. Some of their properties, ultrabaricity in particular, are studied by means of exact solutions of Einstein’s equations. Those found are almost invariably characterized by equations of state of the typeP = αϱ + const with 0 ≤ α ≤ 1 and ϱ proportional to the square of the number density. They are therefore neither ultrabaric (P > ϱ nor superluminal (v S > 1). Exceptions are, however, represented by the generalized interior Schwarzschild solution, the Stephani solution and a new conformally flat solution also of the Stephani type. For these superluminality is allowed if no assumptions are introduced regarding the mechanism of propagation of sound waves. In the one with Stephani metric, transitions can occur in principle from evolutionary stages withv S > 1 to others withv S < 1, andvice versa.

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References

  1. See, for instance, the most comprehensive treatiseExact Solutions of Einstein’s Field Equations byD. Kramer, H. Stephani, M. McCallum andE. Herlt (Berlin, 1980).

  2. G. Bayn andC. Pethick:Ann. Rev. Astron. Astrophys.,17, 415 (1979).

    Article  ADS  Google Scholar 

  3. V. A. Kuzmin andM. E. Shaposhnikov:Phys. Lett. A,69, 462 (1979).

    Article  ADS  Google Scholar 

  4. D. J. Gross, M. J. Perry andL. G. Yaffe:Phys. Rev. D,25, 330 (1980);Y. Kikuchi, T. Moriya andH. Tsukahara:Phys. Rev. D,29, 2220 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  5. G. Papini andM. Weiss:Phys. Lett. A,89, 329 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  6. A. H. Guth:Phys. Rev. D,23, 347 (1981).

    Article  ADS  Google Scholar 

  7. W. Pauli:Theory of Relativity (New York, N. Y., 1958).

  8. S. A. Bludman andM. A. Ruderman:Phys. Rev.,170, 1176 (1968);M. Ruderman:Phys. Rev.,172, 1286 (1968);S. A. Bludman andM. A. Rudermann:Phys. Rev. D,1, 3243 (1970);S. A. Bludman,Equations of state of ultradense relativislic matter, inProc. S.I.F., Course LIV (New York, N. Y., 1972).

    Article  ADS  Google Scholar 

  9. G. Caporaso andK. Brecher:Phys. Rev. D,20, 1823 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  10. E. N. Glass:Phys. Rev. D,28, 2693 (1983);G. Caporaso andK. Brecher:Phys. Rev. D,28, 2694 (1983).

    Article  ADS  Google Scholar 

  11. G. F. R. Ellis Relativistic Cosmology, inCargèse Lect. Phys., Vol. 6 (New York, N. Y., 1973), p. 1.

  12. W. Israel:Quantum Grav ity, inProceedings of the Third Moscow Seminar, edited byM. A. Markov andV. P. Frolov (Singapore, 1985), in press.

  13. F. Rothen:Helv. Phys. Acta,11, 591 (1968);W. Israel:Phys. Lett. A,86, 79 (1981).

    Google Scholar 

  14. H. Stephani:Comm. Math. Phys.,4, 137 (1967) and ref. (’).

    Article  MathSciNet  ADS  Google Scholar 

  15. R. Tabenskt:Some Exact Solutions in Relativistic Hydrodynamics, Ph. D. Thesis, University of California (1972).

  16. J. A. Allnutt:Gen. Bel. Grav.,13, 1017 (1981).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. P. Letelier andR. Tabensky:J. Math. Phys.,16, 8 (1975).

    Article  ADS  Google Scholar 

  18. F. Wainwright:Commun. Math. Phys.,17, 42 (1970).

    Article  MathSciNet  ADS  Google Scholar 

  19. A. Barnes:J. Phys. A,5, 374 (1972).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. J. Ibanez andJ. L. Sanz:J. Math. Phys.,23, 1364 (1982).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. A. H. Taub:Plane symmetric similarity solutions for self-gravitating fluids, inGeneral Relativity, Papers in Honour ofJ. L. Synge andL. O’Raifeartaigh (Editor, Oxford, 1972).

  22. A. F. da Teixeira, I. Wolk andM. M. Som:J. Phys. A,10, 1679 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  23. H. Stephani:Commun. Math. Phys.,4, 137 (1967);D. Kramer, G. Neugebauer andH. Stephani:Fortschr. Phys.,20, 1 (1972).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  24. E. M. Lifschitz andL. P. Pitaevskii:Statistical Physics, Part 2 (Oxford, 1980), p. 101.

  25. E. M. Lifschitz andL. P. Pitaevskii:Statistical Physics, Part 1 (Oxford, 1980), p. 178.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Regina, S4S 0A2, Regina, Canada

    G. Papini & M. Weiss

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  1. G. Papini
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  2. M. Weiss
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Research supported in part by the Natural Sciences and Engineering Research. Council of Canada.

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Papini, G., Weiss, M. Ultrabaric relativistic superfluids. Lett. Nuovo Cimento 44, 83–87 (1985). https://doi.org/10.1007/BF02746993

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