Abstract
The effects of temperature in a theory of general relativity containing higher-derivative terms modulated by a coefficient depending on lnR are studied. The theory contains a false vacuum at a value of the Higgs field close to the Planck mass, and it is shown that the false vacuum cannot exist at temperatures lower than the characteristic mass of the theory. The homogeneous field equations are solved for the case of a static, spherically symmetric gravitational system, finding that the solution corresponds exactly to the Schwarzschild line element. Also considered is the process of temperature-dependent phase transition in the framework of this theory. Reasons are given which support the proposal that black holes could be considered as bubbles of false vacuum, ending with some arguments that seem to prevent the existence of black holes.
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