Over the past decade, f (R) theories have been extensively studied as one of the simplest
modifications to General Relativity. In this article we review various applications of f (R) …

This work tabulates measured and derived values of coefficients for Lorentz and CPT
violation in the standard-model extension. Summary tables are extracted listing maximal …

Recently, two types of static black hole models that retain general covariance have been
proposed within the Hamiltonian constraint approach to effective quantum gravity (EQG). We …

The Lorentz symmetry of gravity is spontaneously broken when the nonminimally coupled
Kalb-Ramond field acquires a nonzero vacuum expectation value. In this work, we present …

Abstract The Kalb-Ramond (KR) gravity theory, a modified gravity theory that nonminimally
couples a KR field with a nonzero vacuum expectation value for the gravitational field, can …

The role of the gravitational sector in the Lorentz-and CPT-violating standard-model
extension (SME) is studied. A framework is developed for addressing this topic in the context …

Abstract We investigate the Klein–Gordon quantum oscillator in a global monopole space–
time with three versions of rainbow gravity. We solve the related Klein–Gordon equation …

This article reviews the generalization of field theory to space-time with noncommuting
coordinates, starting with the basics and covering most of the active directions of research …

We present an updated review of Lorentz invariance tests in effective field theories (EFTs) in
the matter as well as in the gravity sector. After a general discussion of the role of Lorentz …

We obtain an exact vacuum solution from the gravity sector contained in the minimal
standard-model extension. The theoretical model assumes a Riemann spacetime coupled to …