Energy conditions in $f(R,L_{m})$ gravity

Jun Wang; Kai Liao

doi:10.1088/0264-9381/29/21/215016

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arXiv · 1212.4656

Energy conditions in $f(R,L_{m})$ gravity

Jun Wang·Kai Liao

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Abstract

In order to constrain $f(R,L_{m})$ gravity from theoretical aspects, its energy conditions are derived in this paper. These energy conditions given by us are quite general and can be degenerated to the well-known energy conditions in General Relativity and $f(R)$ theories of gravity with arbitrary coupling, non-minimal coupling and non-coupling between matter and geometry, respectively, as special cases. To exemplify how to use these energy conditions to restrict $f(R,L_{m})$ gravity, we consider a special model in the FRW cosmology and give some corresponding results by using astronomical observations.

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Jun Wang, Kai Liao. 2012-12-20. Energy conditions in $f(R,L_{m})$ gravity. https://doi.org/10.1088/0264-9381%2F29%2F21%2F215016

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