Dilaton test of connection between AdS_3 X S^3 and 5D black hole

Abstract

A 5D black hole(M${}_5$) is investigated in the type IIB superstring theory compactified on S${}^1\times$T${}^4$. This corresponds to AdS${}_3\times$S${}^3\times$T${}^4$ in the near horizon with asymptotically flat space. Here the harmonic gauge is introduced to decouple the mixing between the dilaton and others. On the other hand we obtain the BTZ balck hole(AdS${}_3\times$S${}^3\times$T${}^4$) as the non-dilatonic solution. We calculate the greybody factor of the dilaton as a test scalar both for a 5D black hole(M${}_5\times$S${}^1\times$T${}^4$) and the BTZ black hole(AdS${}_3\times$S${}^3\times$T${}^4$). The result of the BTZ black hole agrees with the greybody factor of the dilaton in the dilute gas approximation of a 5D black hole.

revised version to appear in classical and quantum gravity, 15 pages with RevTeX

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Cited by in corpus (4)

• On strong mass segregation around a massive black hole: Implications for lower-frequency gravitational-wave astrophysics
• Schwarzschild black hole in the dilatonic domain wall
• S-wave absorption of scalars by noncommutative D3-branes
• Greybody factor for D3-branes in B field