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Journal Article

The Equivalence and/or the Effacing principle in f (R) theories of gravity


Bhattacharyya,  Soham
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Bhattacharyya, S. (2022). The Equivalence and/or the Effacing principle in f (R) theories of gravity. The European Physical Journal C, 82(7): 611. doi:10.1140/epjc/s10052-022-10574-9.

Cite as: https://hdl.handle.net/21.11116/0000-0008-2CBA-6
The Einstein-Hilbert action of 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 have 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 $
f\left(R\right) $ 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.