Abstract
We discuss the generalization of the NUT spacetime in General Relativity (GR) within the framework of the (dynamical) Einstein--Chern-Simons (ECS) theory with a massless scalar field. These configurations approach asymptotically the NUT spacetime and are characterized by the `electric' and `magnetic' mass parameters and a scalar `charge'. The solutions are found both analytically and numerically. The analytical approach is perturbative around the Einstein gravity background. Our results indicate that the ECS configurations share all basic properties of the NUT spacetime in GR. However, when considering the solutions inside the event horizon, we find that in contrast to the GR case, the spacetime curvature grows (apparently) without bound.
Highlights
The Einstein–Chern–Simons (ECS) theory [1] is one of the most interesting generalizations of the General Relativity (GR) [2]
Its action contains extra-terms quadratic in the curvature which can potentially lead to new effects in the strong-field regime. This model is motivated by string theory results [4] and occurs in the framework of loop quantum gravity [5,6]
The NUT spacetime is not asymptotically flat in the usual sense it does obey the required fall-off conditions, and, contains closed timelike curves. It is cannot be taken as a realistic model for a macroscopic object, its Euclideanized version might play a role in the context of quantum gravity [14]
Summary
The Einstein–Chern–Simons (ECS) theory [1] is one of the most interesting generalizations of the General Relativity (GR) [2]. Its action contains extra-terms quadratic in the curvature which can potentially lead to new effects in the strong-field regime This model is motivated by string theory results [4] and occurs in the framework of loop quantum gravity [5,6]. The NUT spacetime is not asymptotically flat in the usual sense it does obey the required fall-off conditions, and, contains closed timelike curves As such, it is cannot be taken as a realistic model for a macroscopic object, its Euclideanized version might play a role in the context of quantum gravity [14]. There we present our results for the Taub region of the solutions and give arguments that the solution is divergent there
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