Energy Conditions in Palatini Approach to Modified f(R) Gravity

Author: Hamidreza Saiedi

In this paper, we review modified f(R) theories of gravity in Palatini formalism. In this framework, we use the Raychaudhuri’s equation along with the requirement that the gravity is attractive, which holds for any geometrical theory of gravity to discuss the energy conditions. Then, to derive these conditions, we obtain an expression for effective pressure and energy density by considering FLRW metric. To simply express the energy conditions, we write the Ricci scalar and its derivatives in terms of the deceleration (q), jerk (j) and snap (s) parameters. Energy conditions derived in Palatini version of f(R) Gravity differ from those derived in GR. We will see that the WEC (weak energy condition) derived in Palatini formalism has exactly the same expression in its metric approach.


Journal: Journal of High Energy Physics, Gravitation and Cosmology
DOI: 10.4236/jhepgc.2020.64046(PDF)
Paper Id: 103212 (metadata)

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