Axisymmetric Stationary Spacetimes of Constant Scalar Curvature in Four Dimensions
Rosikhuna F. Assafari, Emir S. Fadhilla, Bobby E. Gunara, Hasanuddin,, and Abednego Wiliardy
TL;DR
This paper constructs a class of four-dimensional axisymmetric stationary spacetimes with constant Ricci scalar that are not Einstein, revealing a ring singularity and providing numerical analysis of these solutions.
Contribution
It introduces a new class of solutions with constant scalar curvature that are not Einstein, expanding the understanding of such spacetimes.
Findings
Presence of a ring singularity in the solutions
Numerical results illustrating properties of these spacetimes
Extension of known solutions to non-Einstein cases with constant scalar curvature
Abstract
In this paper we construct a special class of four dimensional axisymmetric stationary spacetimes whose Ricci scalar is constant but not Einstein. We find that this solution has a ring singularity. At the end, we discuss some numerical results of these spacetimes.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Cosmology and Gravitation Theories · Geometric Analysis and Curvature Flows