Scalar Curvature Invariants in Classical and Quantum Gravity
B. Shakerin, D.D. McNutt, B. Mattingly, A. Kar, W. Julius, M. Gorban,, C. Watson, P. Brown, J.S. Lee, E. W. Davis, G.B. Cleaver
TL;DR
This paper reviews scalar curvature invariants in gravity theories, explaining their construction, minimal sets, and applications, with a focus on modern gravity research.
Contribution
It provides a comprehensive overview of scalar curvature invariants, including their construction, minimal sets, and relevance to current gravity theories.
Findings
Methods for constructing scalar curvature invariants explained
Minimal number of invariants for specific spacetimes discussed
Applications in modern gravity theories highlighted
Abstract
A short review of scalar curvature invariants in gravity theories is presented. We introduce how these invariants are constructed and discuss the minimal number of invariants required for a given spacetime. We then discuss applications of these invariants and focus on three topics that are of particular interest in modern gravity theories.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories