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c-functions in the Born-Infeld extended new massive gravity

2010/05/31 by İbrahim Güllü, Ibrahim Gullu, Tahsin Çağrı Şişman +2 · 59 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Computer science #Cosmology and Gravitation Theories #Function (biology) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Null (SQL) #Physics #Pure mathematics #Quantum mechanics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.82.024032

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(2) (American Physical Society) · 9 pages, 2 figures, reference added, typos corrected, version to appear in Phys. Rev. D

arxiv created 2010/07/14 · openalex publication_date 2010/07/27 · arxiv updated 2011/01/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We derive and study the equations of motion of the Born-Infeld extension of new massive gravity for globally and asymptotically (anti-)de Sitter spaces, and show that the assumptions of the null-energy condition and holography (that bounds the c-function) lead to two simple c-functions, one of which is equivalent to the c-function of Einstein's gravity. We also show that, at the fixed point, the c-function gives the central charge of the Virasoro algebra and the coefficient of the Weyl anomaly up to a constant.

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