Gödel's Universe and the Local Limit of Nonlocal Gravity

Abstract

We consider the Gödel universe within the context of the local limit of nonlocal gravity. This theory differs from Einstein's general relativity (GR) through the existence of a scalar susceptibility function $S(x)$ that is a characteristic feature of the gravitational field and vanishes in the GR limit. We show that Gödel's spacetime is a solution of the modified gravitational field equations provided $S$ is a constant, in conformity with the spatial homogeneity of the Gödel universe.

18 pages; v2: presentation improved, published online in Annalen der Physik

References in corpus (16)

• The teleparallel equivalent of general relativity
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Nonlocal Gravity Simulates Dark Matter
• A formal framework for a nonlocal generalization of Einstein's theory of gravitation
• Nonlocal Cosmology II --- Cosmic acceleration without fine tuning or dark energy
• Generalized non-local $R^2$-like inflation
• Constitutive law of nonlocal gravity
• Can nonlocal gravity really explain dark energy?
• Apparent dark matter as a non-local manifestation of emergent gravity
• Dynamical Friction in Nonlocal Gravity
• Dynamic Dark Energy from the Local Limit of Nonlocal Gravity
• Anisotropic Cosmology in the Local Limit of Nonlocal Gravity
• Non-Gaussianities in generalized non-local $R^2$-like inflation
• Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity
• Local Limit of Nonlocal Gravity: Cosmological Perturbations
• On the Energy-Momentum Flux in Gödel-type Models