Radiation from the LTB black hole

Abstract

Does a dynamical black hole embedded in a cosmological FRW background emit Hawking radiation where a globally defined event horizon does not exist? What are the differences to the Schwarzschild black hole? What about the first law of black hole mechanics? We face these questions using the LTB cosmological black hole model recently published. Using the Hamilton-Jacobi and radial null geodesic-methods suitable for dynamical cases, we show that it is the apparent horizon which contributes to the Hawking radiation and not the event horizon. The Hawking temperature is calculated using the two different methods giving the same result. The first law of LTB black hole dynamics and the thermal character of the radiation is also dealt with.

9 pages, revised version, Europhysics Letter 2012 97 29002

References in corpus (7)

• Quantum Tunneling and Back Reaction
• Temporal contribution to gravitational WKB-like calculations
• Subtleties in the quasi-classical calculation of Hawking radiation
• Dynamical surface gravity
• Problems with Tunneling of Thin Shells from Black Holes
• Black Hole Evaporation in an Expanding Universe
• Band-aid for information loss from black holes

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