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- W4285616452 abstract "Abstract The Einstein–Hilbert action of the general theory of relativity (GR) is the integral of the scalar curvature R . It is a theory that is drawn from the Equivalence principle and has predictions that come out as a consequence of the principle, in observables. Testing such observables to find confirmation/infirmation of the principle has formed a significant chunk of tests of GR itself. It is expected that quantum corrections to GR may add additional higher powers of R to the Einstein–Hilbert action, or more generally, modifying the action into a generic class of functions of the Ricci scalar. Testing the fate of the prized equivalence principle, in such modified theories of gravity, hence become important in order to obtain a more generic theory of gravitation, and consequently, of gravitating objects. In this study, it is shown that a Post-Newtonian (PN) expansion of a class of $$ fleft( Rright) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>f</mml:mi> <mml:mfenced> <mml:mi>R</mml:mi> </mml:mfenced> </mml:mrow> </mml:math> theories lead to a sequence of solutions to the two-body problem, which follows the equivalence principle (EP) at the Newtonian order, and generalizes to the ‘effacing principle’ at a higher PN order." @default.
- W4285616452 created "2022-07-16" @default.
- W4285616452 creator A5075428241 @default.
- W4285616452 date "2022-07-13" @default.
- W4285616452 modified "2023-09-26" @default.
- W4285616452 title "The equivalence and/or the effacing principle in $$ fleft( Rright) $$ theories of gravity" @default.
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- W4285616452 doi "https://doi.org/10.1140/epjc/s10052-022-10574-9" @default.
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