The Equivalence and/or the Effacing principle in $ fleft(Rright) $ theories of gravity. (arXiv:2103.04627v2 [gr-qc] UPDATED)

The Equivalence and/or the Effacing principle in $ fleft(Rright) $ theories of gravity. (arXiv:2103.04627v2 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Bhattacharyya_S/0/1/0/all/0/1">Soham Bhattacharyya</a>

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 $
fleft(Rright) $ 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.

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 $
fleft(Rright) $ 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.

http://arxiv.org/icons/sfx.gif