A generalized equation of motion for gravity theories with non-minimal kinetic scalar couplings

2014/12/08 by Saugata Chatterjee, Chatterjee, Saugata
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1412.2739

arxiv created 2014/12/08 · openalex publication_date 2014/12/08 · arxiv updated 2015/01/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A general form for the equation of motion for higher-curvature gravity is obtained. The interesting feature of the analysis is that it can handle Lagrangians which contain non-minimal kinetic scalar couplings. Certain subtle features, which are absent for the Einstein-Hilbert term, arise in higher-curvature gravity. These are identified and an algorithmic prescription is presented for the evaluation of the generalized equation of motion.

Citations

• Second-order scalar-tensor field equations in a four-dimensional space
• On Kaluza-Klein theory
• The galileon as a local modification of gravity
• Covariant Galileon

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• Modified Gravity Models Admitting Second Order Equations of Motion
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