On the behaviour of the gravitational constant in finite-temperature induced gravity

Details On the behaviour of the gravitational constant in finite-temperature induced gravity On the behaviour of the gravitational constant in finite-temperature induced gravity

Nov 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phlb..132...61p&link_type=abstract

Physics Letters B, Volume 132, Issue 1-3, p. 61-64.

Physics

10

Scientific paper

A simple theory of induced gravity, containing a scalar field, generates the gravitational constant G via a term 1/2ɛϕ2R in the classical lagrangian function. We show that inclusion of a thermal contribution VT(ϕ, T) to the effective potential Veff(ϕ) leaves the vacuum expectation value <ϕ>, and hence G-1, unchanged; there is no restoration of symmetry at high temperature. Rather, the theory breaks down when terms quadratic in R and Rij become important in the Einstein equations.
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