تقرير
A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime
| العنوان: | A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime |
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| المؤلفون: | Durka, Remigiusz, Kowalski-Glikman, Jerzy |
| سنة النشر: | 2022 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, High Energy Physics - Theory |
| الوصف: | 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. Comment: 22 pages, v2 (improved version prepared for publication with the extended supplement file and new references added) |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP02(2023)029 |
| URL الوصول: | http://arxiv.org/abs/2210.10154 |
| رقم الأكسشن: | edsarx.2210.10154 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP02(2023)029 |
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