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de la Cruz Dombriz, Alvaro and Dunsby, Peter K. S. and Consolini Busti, Vinicius and Kandhai, Sulona
(2014)
*Tidal forces in f(R) theories of gravity.*
Physical Review D, 89
(064029).
pp. 1-9.

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Official URL: http://journals.aps.org/prd/pdf/10.1103/PhysRevD.89.064029

## Abstract

Despite the extraordinary attention that modified gravity theories have attracted over the past decade, the geodesic deviation equation in this context has not received proper formulation thus far. This equation provides an elegant way to investigate the timelike, null and spacelike structure of spacetime geometries.

In this investigation we provide the full derivation of this equation in situations where general relativity has been extended in Robertson-Walker background spacetimes. We find that for null geodesics the contribution arising from the geometrical new terms is in general nonzero. Finally we apply the results to a well-known class of f(R) theories, compare the results with general relativity predictions and obtain the equivalent area distance relation.

Item Type: | Article |
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Uncontrolled Keywords: | Geodesic deviation equation, Gravity theories, General relativity |

Subjects: | Sciences > Physics Sciences > Physics > Physics-Mathematical models |

ID Code: | 26085 |

Deposited On: | 01 Jul 2014 12:03 |

Last Modified: | 01 Jul 2014 12:03 |

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