Classical Soft Theorem in the AdS-Schwarzschild spacetime in small cosmological constant limit

Abstract

We have studied scattering of a probe particle by a four dimensional AdS-Schwarzschild black hole at large impact factor. Our analysis is consistent perturbatively to leading order in the AdS radius and black hole mass parameter. Next we define a proper "soft limit" of the radiation and extract out the "soft factor" from it. We find the correction to the well known flat space Classical Soft graviton theorem due to the presence of an AdS background.

arXiv comment35 pages, 1 figure, 2 new references added, minor changes incorporated

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Cited by in corpus (6)

• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• $1/L^2$ corrected soft photon theorem from a CFT${}_3$ Ward identity
• Soft Photon theorem in the small negative cosmological constant limit
• Perturbative soft graviton theorems in de Sitter spacetime
• de Sitter corrections to supertranslation Ward identity and soft graviton theorem