Geodesic deviation equation in f (R) gravity

• Verfasst von: Guarnizo, Alejandro [VerfasserIn]
• Verfasst von: Castaneda, Leonardo [VerfasserIn]
• Verfasst von: Tejeiro-Sarmiento, Juan-Manuel [VerfasserIn]
• Titel: Geodesic deviation equation in f (R) gravity
• Verf.angabe: Alejandro Guarnizo, Leonardo Castañeda, Juan M. Tejeiro
• E-Jahr: 2011
• Jahr: 06 May 2011
• Umfang: 16 S.
• Fussnoten: Gesehen am 26.01.2021
• Titel Quelle: Enthalten in: General relativity and gravitation
• Ort Quelle: New York, NY [u.a.] : Springer Science + Business Media B.V., 1970
• Jahr Quelle: 2011
• Band/Heft Quelle: 43(2011,10) Artikel-Nummer 2713, 16 Seiten
• ISSN Quelle: 1572-9532
• DOI: doi:10.1007/s10714-011-1194-6
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Errata: Guarnizo, Alejandro, 1984 - : Erratum to: Geodesic deviation equation in f(R) gravity
• K10plus-PPN: 1745641467

Abstract

In this paper we study the Geodesic Deviation Equation (GDE) in metric f (R) gravity. We start giving a brief introduction of the GDE in General Relativity in the case of the standard cosmology. Next we generalize the GDE for metric f (R) gravity using again the FLRW metric. A generalization of the Mattig relation is also obtained. Finally we give and equivalent expression to the Dyer-Roeder equation in General Relativity in the context of f (R) gravity.