Results from Quantum Cosmological Gravity

Abstract

This is a report on my work with Professor Nicholas Tsamis of the University of Crete on quantum gravity with a non-zero cosmological constant.^1-5 Because this theory differs so radically from conventional quantum gravity we have taken to calling it, “quantum cosmological gravity,” or QCG for short. The Lagrangian of QCG is:

$$L = \frac{1}{{16\pi G}}\left( {R - 2\Lambda } \right)\sqrt { - g} + counterterms$$

(1)

where G is Newton’s constant, A is the cosmological constant, and we employ an infinite series of local counterterms to absorb ultraviolet divergences. The astute reader will note that our metric has spacelike signature and our Riemann tensor is $R_{\sigma \mu \nu }^\rho = \Gamma _{\nu \sigma ,\mu }^\rho + \Gamma _{\mu \lambda }^\rho \Gamma _{\nu \sigma }^\lambda - \left( {\mu \leftrightarrow \nu } \right).$