arXiv subjects

E. J. Gonzalez de Urreta

Publications and source records attributed to E. J. Gonzalez de Urreta.

2 recordsLinked to original sources

arXiv2015

Weyl geometry, anti-De Sitter space, and $Φ^4$-theory

We study the Gaussian approximation to the quantum fluctuations of the metric of the four dimensional anti-De Sitter spacetime. The associated massless scalar field has a quartic self interaction, for which we construct the generating functional of the $n$-point correlation functions. The concomitant infrared divergence is cured by a mass renormalization provided by the cosmological constant, which is also responsible for the renormalization of the coupling constant of the field theory.

physics.gen-ph↗

arXiv2015

Extended Newman-Janis algorithm for rotating and Kerr-Newman de Sitter and anti de Sitter metrics

The Newman-Janis algorithm is well known to provide rotating black holes solutions to Einstein's equations from static seeds, through a complexification of a radial and a time coordinates. However, an ambiguity remains for the replacement of the $r^{-1}$ and $r^{-2}$ powers of the radial coordinate. We show here that the two cases are unified by a simple expression which allows its extension to the $r^{2}$ power, characteristic of the de Sitter ($dS$) and anti de Sitter ($AdS$) spacetimes. The formula leads almost automatically to the Kerr and Kerr-Newman-$dS$ and -$AdS$ metrics.

gr-qc↗