Particle creation phenomenology, Dirac sea and the induced Weyl and Einstein-dilaton gravity

Abstract

We constructed the conformally invariant model for scalar particle creation induced by strong gravitational fields. Starting from the "usual" hydrodynamical description of the particle motion written in the Eulerian coordinates we substituted the particle number conservation law (which enters the formalism) by "the particle creation law", proportional to the square of the Weyl tensor (following the famous result by Ya.B.Zel`dovich and A. A.Starobinsky). Then, demanding the conformal invariance of the whole dynamical system, we have got both the (Weyl)-conformal gravity and the Einstein--Hilbert gravity action integral with dilaton field. Thus, we obtained something like the induced gravity suggested first by A. D.Sakharov. It is shown that the resulting system is self-consistent. We considered also the vacuum equations. It is shown that, beside the "empty vacuum", there may exist the "dynamical vacuum", which is nothing more but the Dirac sea.

12 pages, advanced version

References in corpus (3)

• Local Conformal Symmetry: the Missing Symmetry Component for Space and Time
• Spherically symmetric conformal gravity and "gravitational bubbles"
• Conformal gravity and "gravitational bubbles"

Cited by in corpus (6)

• Forms of action for perfect fluid in General Relativity and mimetic gravity
• Weyl cosmology
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• Spherically symmetric double layers in Weyl+Einstein gravity
• On the theory of spherically symmetric thin shells in conformal gravity
• The Dirac Sea for the Non-Separable Hilbert Spaces