The Principle of Equivalence and Cosmological Metrics

Graham Stanley Hall, D. P. Lonie

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

This paper is concerned with the extent to which the geodesics of space-time (that is, the experimental consequences of the principle of equivalence) determine the metric in general relativity theory and, in particular, in Friedmann-Robertson-Walker-Lemaitre (FRWL) space-times. Thus it discusses projective structure in these space-times. The approach will be from a geometrical point of view and it is shown that if two space-time metrics share the same (unparametrized) geodesics and one is a (generic) FRWL metric then so is the other and that each is a member of a well defined family of projectively related (FRWL) metrics. Similar techniques are then applied to study the existence and properties of symmetries of the Weyl projective tensor and projective symmetries in FRWL space-times.
Original languageEnglish
Article number022502
Number of pages13
JournalJournal of Mathematical Physics
Volume49
Issue number2
DOIs
Publication statusPublished - 2008

Fingerprint

equivalence
Space-time
Equivalence
Metric
Geodesic
space-time functions
Projective Structure
symmetry
Symmetry
relativity
General Relativity
tensors
Well-defined
Tensor

Keywords

  • Particle-theory and field-theory models of the early Universe
  • Spacetime topology
  • causal structure
  • spinor structure
  • Geometry
  • differential geometry
  • topology

Cite this

The Principle of Equivalence and Cosmological Metrics. / Hall, Graham Stanley; Lonie, D. P.

In: Journal of Mathematical Physics, Vol. 49, No. 2, 022502, 2008.

Research output: Contribution to journalArticle

Hall, Graham Stanley ; Lonie, D. P. / The Principle of Equivalence and Cosmological Metrics. In: Journal of Mathematical Physics. 2008 ; Vol. 49, No. 2.
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