General Relativity and Gravitation

, Volume 8, Issue 9, pp 717–721 | Cite as

The role of mathematics in gravitational physics

From the sublime to the subliminal?
  • C. B. Collins
Research Articles

Abstract

Certain gravitational systems are described for which particular equations of state are singled out by means of purely mathematical considerations. The fact that these equations of state are realistic, and indeed the most relevant to the physical systems under study, suggests that locked into Einstein's field equations lies some information about local physical conditions, and that in order to describe gravitating systems, it is not always necessary to draw on extraneous branches of physics.

Keywords

Physical Condition Field Equation Physical System Differential Geometry Gravitational System 

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References

  1. 1.
    Hawking, S. W., and Penrose, R. (1970).Proc. R. Soc. London,A314, 529.Google Scholar
  2. 2.
    Ellis, G. F. R., and King, A. R. (1974).Commun. Math. Phys.,38, 119.Google Scholar
  3. 3.
    Farnsworth, D. L. (1967).J. Math. Phys.,8, 2315.Google Scholar
  4. 4.
    Collins, C. B. (1974).Commun. Math. Phys.,39, 131.Google Scholar
  5. 5.
    Shepley, L. C. (1969).Phys. Lett.,28A, 695.Google Scholar
  6. 6.
    Collins, C.B. (1977).J. Math. Phys.,18, 1374.Google Scholar
  7. 7.
    Weinberg, S. (1972).Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (John Wiley and Sons, New York).Google Scholar
  8. 8.
    Will, C. (1972).Phys. Today,25, No. 10, 23.Google Scholar

Copyright information

© Plenum Publishing Corp. 1977

Authors and Affiliations

  • C. B. Collins
    • 1
  1. 1.Department of Applied MathematicsUniversity of WaterlooWaterlooCanada

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