Weak equivalence principle for self-gravitating bodies: A sieve for purely metric theories of gravity

Eolo Di Casola, Stefano Liberati, and Sebastiano Sonego
Phys. Rev. D 89, 084053 – Published 10 April 2014

Abstract

We propose the almost-geodesic motion of self-gravitating test bodies as a possible selection rule among metric theories of gravity. Starting from a heuristic statement, the “gravitational weak equivalence principle,” we build a formal operative test able to probe the validity of the principle for any metric theory of gravity in an arbitrary number of spacetime dimensions. We show that, if the theory admits a well-posed variational formulation, this test singles out only the purely metric theories of gravity. This conclusion reproduces known results in the cases of general relativity (as well as with a cosmological constant term) and scalar-tensor theories, but extends also to debated or unknown scenarios, such as the f(R) and Lanczos-Lovelock theories. We thus provide new tools going beyond the standard methods, where the latter turn out to be inconclusive or inapplicable.

  • Received 13 January 2014

DOI:https://doi.org/10.1103/PhysRevD.89.084053

© 2014 American Physical Society

Authors & Affiliations

Eolo Di Casola* and Stefano Liberati

  • SISSA, via Bonomea 265, 34136 Trieste, Italy and INFN Sez. di Trieste, via Valerio 2, 34127 Trieste, Italy

Sebastiano Sonego

  • DCFA, Sezione di Fisica e Matematica, Università di Udine, Via delle Scienze 206, 33100 Udine, Italy

  • *Corresponding author. eolo.dicasola@sissa.it
  • stefano.liberati@sissa.it
  • sebastiano.sonego@uniud.it

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Issue

Vol. 89, Iss. 8 — 15 April 2014

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