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Scalar Curvature Invariants in Classical and Quantum Gravity

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arxiv 2106.05926 v2 pith:YBDSGHLZ submitted 2021-06-10 gr-qc

classification gr-qc
keywords invariantsgravitycurvaturediscussscalartheoriesapplicationsclassical
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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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