• DOI:10.1007/978-1-4612-1422-9_14
• Corpus ID: 9986708

Deviation of Geodesics in FLRW Spacetime Geometries

@inproceedings{Ellis1997DeviationOG,
  title={Deviation of Geodesics in FLRW Spacetime Geometries},
  author={George F. R. Ellis and Henk van Elst},
  year={1997}
}

• G. Ellis, Henk van Elst
• Published 24 September 1997
• Physics, Mathematics

The geodesic deviation equation (“GDE”) provides an elegant tool to investigate the timelike, null and spacelike structure of spacetime geometries. Here we employ the GDE to review these structures within the Friedmann—LemaitreRobertson—Walker (“FLRW”) models, where we assume the sources to be given by a noninteracting mixture of incoherent matter and radiation, and we also take a nonzero cosmological constant into account. For each causal case we present examples of solutions to the GDE and we discuss the interpretation of the related first integrals. The de Sitter spacetime geometry is treated separately.