DOAJ Open Access 2023

A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime

Remigiusz Durka Jerzy Kowalski-Glikman

Abstrak

Abstract We consider two BF formulations of the theory of gravity with a negative cosmological constant, of Plebanski and of MacDowell-Mansouri. Both give the standard Einstein equations in the bulk but differ in expressions of edge charges. We compute the asymptotic charges explicitly in both theories for AdS-Schwarzschild, AdS-Kerr, and AdS-Taub-NUT solutions. We find that while in the case of the Plebanski theory the charges are divergent, they are finite for MacDowell-Mansouri theory. Furthermore, we show that in the case of the arbitrary asymptotically AdS spacetimes, MacDowell-Mansouri asymptotic charges, action, and symplectic form are all finite. Therefore MacDowell-Mansouri theory of gravity in asymptotically AdS spaces does not need any counterterms.

Topik & Kata Kunci

Nuclear and particle physics. Atomic energy. Radioactivity

Penulis (2)

Remigiusz Durka

Jerzy Kowalski-Glikman

Format Sitasi

APA MLA BibTeX

Durka, R., Kowalski-Glikman, J. (2023). A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime. https://doi.org/10.1007/JHEP02(2023)029

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1007/JHEP02(2023)029
Akses: Open Access ✓