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Energy conditions in f(R,L_(m)) gravity

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arxiv 1212.4656 v2 pith:AGHLCRB6 submitted 2012-12-19 physics.gen-ph gr-qc

Energy conditions in f(R,L_(m)) gravity

classification physics.gen-ph gr-qc
keywords conditionsenergygravitycouplinggeneralspecialarbitraryaspects
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. Transit dark energy cosmological models in generalized matter-geometry coupling theory using a non-linear form of $f(R,T,L_{m})$ function

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    A modified f(R,T,L_m) gravity model, fitted to CC and Pantheon data, yields an accelerating late-time universe with transition redshift near 0.6 and an effective dark energy equation of state within 1e-5 of -1.