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Turkish Journal of Physics

Abstract

We study the 1/c expansion of general relativity within a formulation that is compatible with both the Arnowitt-Deser-Misner and the Kol-Smolkin decompositions. The Einstein-Hilbert action takes a common form for those decompositions as they are dual to each other. We first develop a method to expand this generic form and then push the expansion up to c−3 order within this novel approach. Next, we apply our technique to the Arnowitt-Deser-Misner decomposition and expand it up to c−3 order explicitly. In order to demonstrate the applicability of our method and to highlight the duality at the level of expansion, we also perform the expansion in the Kol-Smolkin decomposition up to c−1 order. Lastly, we make some all-order observations.

Author ORCID Identifier

MAHMUT ELBİSTAN: 0000-0002-4802-7152

DOI

10.55730/1300-0101.2800

Keywords

large c expansion, 3 + 1 decomposition of general relativity, nonrelativistic gravity

First Page

37

Last Page

58

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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