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

Author: Hamidreza Saiedi

ABSTRACT
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.

Source:

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

See also: Comments to Paper

About scirp

(SCIRP: http://www.scirp.org) is an academic publisher of open access journals. It also publishes academic books and conference proceedings. SCIRP currently has more than 200 open access journals in the areas of science, technology and medicine. Readers can download papers for free and enjoy reuse rights based on a Creative Commons license. Authors hold copyright with no restrictions. SCIRP calculates different metrics on article and journal level. Citations of published papers are shown based on Google Scholar and CrossRef. Most of our journals have been indexed by several world class databases. All papers are archived by PORTICO to guarantee their availability for centuries to come.
This entry was posted in JHEPGC. Bookmark the permalink.

Leave a Reply

Your email address will not be published. Required fields are marked *