The Conformal frame freedom in theories of gravitation

By E. Flanagan. 2004

313 citations recorded by the source corpus.

It has frequently been claimed in the literature that the classical physical predictions of scalar–tensor theories of gravity depend on the conformal frame in which the theory is formulated. We argue that this claim is false, and that all classical physical predictions are conformal-frame invariants. We also respond to criticisms by Vollick (2003 Preprint gr-qc/0312041), in which this issue arises, of our recent analysis of the Palatini form of 1/R gravity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/ea99c8cf3a0b22e58752a3e1a45cd7038c74d3c1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Oceanography

Citations in the corpus

Higgs Inflation (2018, background): “12), provided a suitable redefinition of the slow-roll parameters in order to account for the Weyl factor relating the two frames [41,42,123–139].”
Stellar structure models in modified theories of gravity: Lessons and challenges (2019, unknown): “h, via a conformal transformation ˜gµν = A−2(φ)gµν, can be written in the (sometimes) more convenient Einstein frame form (for a broaderdiscussion of the two frames of scalar-tensor theories see e.g. [98]) SE G = 1 2κ2 Z d4x p −g˜ R(˜g)−g˜µν∇˜µψ∇˜νψ−2V˜(ψ) +S m[A2g˜µν,ψ m] , (20) where the potenti”
Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, background): “, the Jordan frame in which the metric is minimally coupled (3) and the Einstein frame in which ω is constant but matter is explicitly coupled to the scalar (Flanagan, 2004).”
Einstein's General Theory Of Relativity (2007, background): “104) 5These issues have been discussed more elaborately by Flanagan [Fla04].”
Nonmetricity formulation of general relativity and its scalar-tensor extension (2018, background): “In analogy with the scalar-curvature [18, 19] and scalar-torsion [13, 21] theories, A(Φ), B(Φ) and V(Φ) are functions.”
f(R) Theories Of Gravity (2008, methodology): “…this frame is equivalent to the Jordan frame and both are perfectly suitable for 26 Note that in the case of (Flanagan, 2004b) in which fermions are used as the matter fields, one could decide to couple the indepen- performing calculations (Flanagan, 2004a) [see also the relevant discussion in Sec.”
Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action (2013, background): “First of all, the above mentioned free functions in the action are actually redundant for fixing a particular action [42, 43].”
f(R) Theories (2010, methodology): “While the above analysis is based on the calculation in the Jordan frame in which test particles follow geodesics [55], the same result was also obtained by the analysis in the Einstein frame [261, 262, 260, 318].”