We compare Mercury’s precession test in standard general relativity, Brans–Dicke theories (BD), and Palatini f(R) -theories. We avoid post-Newtonian approximation and compute exact precession in these theories. We show that the well-known mathematical equivalence between Palatini f(R) -theories and a specific subset of BD theories does not extend to a really physical equivalence among theories since equivalent models still allow a different incompatible precession for Mercury depending on the solution one chooses. As a result one cannot use BD equivalence to rule out Palatini f(R) -theories. On the contrary, we directly discuss that Palatini f(R) -theories can (and specific models do) easily pass Solar System tests as Mercury’s precession.

Solar System tests in Brans–Dicke and Palatini f(R) -theories

Bonino A.;Camera S.;Fatibene L.
;
Orizzonte A.
2020

Abstract

We compare Mercury’s precession test in standard general relativity, Brans–Dicke theories (BD), and Palatini f(R) -theories. We avoid post-Newtonian approximation and compute exact precession in these theories. We show that the well-known mathematical equivalence between Palatini f(R) -theories and a specific subset of BD theories does not extend to a really physical equivalence among theories since equivalent models still allow a different incompatible precession for Mercury depending on the solution one chooses. As a result one cannot use BD equivalence to rule out Palatini f(R) -theories. On the contrary, we directly discuss that Palatini f(R) -theories can (and specific models do) easily pass Solar System tests as Mercury’s precession.
135
12
1
25
https://arxiv.org/abs/2011.06303
Extended theories of gravity; test of gravitational theories.
Bonino A.; Camera S.; Fatibene L.; Orizzonte A.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/1768469
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact