Generalized Gödel universes in higher dimensions and pure Lovelock gravity

Abstract

Gödel universe is a homogeneous rotating dust with negative $\Lambda$ which is a direct product of three dimensional pure rotation metric with a line. We would generalize it to higher dimensions for Einstein and pure Lovelock gravity with only one $N$th order term. For higher dimensional generalization, we have to include more rotations in the metric, and hence we shall begin with the corresponding pure rotation odd $(d=2n+1)$-dimensional metric involving $n$ rotations, which eventually can be extended by a direct product with a line or a space of constant curvature for yielding higher dimensional Gödel universe. The considerations of $n$ rotations and also of constant curvature spaces is a new line of generalization and is being considered for the first time.

31 pages

References in corpus (7)

• General Non-extremal Rotating Charged Godel Black Holes in Minimal Five-Dimensional Gauged Supergravity
• Extremal Kerr black hole/CFT correspondence in the five dimensional Gödel universe
• A discerning gravitational property for gravitational equation in higher dimensions
• Gödel and Gödel-type universes in Brans-Dicke theory
• On Lovelock analogues of the Riemann tensor
• Thermodynamics and Hawking radiation of five-dimensional rotating charged Gödel black holes
• Godel Universe from String Theory

Cited by in corpus (4)

• Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity
• Godel Metrics with Chronology Protection in Horndeski Gravities
• Thin-shell Wormholes with Ordinary Matter in Pure Gauss-Bonnet Gravity
• Mass and angular momentum of charged rotating Gödel black holes in five-dimensional minimal supergravity