Geodesic Deviation Equation in ΛCDM \(f(T,\mathcal {T})\) Gravity

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• 作者：M. G. Ganiou ; Ines G. Salako…
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：55
• 期：9
• 页码：3954-3972
• 全文大小：533 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575
• 卷排序：55

文摘

The geodesic deviation equation has been investigated in the framework of \(f(T,\mathcal {T})\) gravity, where T denotes the torsion and \(\mathcal {T}\) is the trace of the energy-momentum tensor, respectively. The FRW metric is assumed and the geodesic deviation equation has been established following the General Relativity approach in the first hand and secondly, by a direct method using the modified Friedmann equations. Via fundamental observers and null vector fields with FRW background, we have generalized the Raychaudhuri equation and the Mattig relation in \(f(T,\mathcal {T})\) gravity. Furthermore, we have numerically solved the geodesic deviation equation for null vector fields by considering a particular form of \(f(T,\mathcal {T})\) which induces interesting results susceptible to be tested with observational data.KeywordsGeodesic deviation equation\(f(T,\protect \mathcal {T})\) gravity