Matter and gravitons in the gravitational collapse

Abstract

We consider the effects of gravitons in the collapse of baryonic matter that forms a black hole. We first note that the effective number of (soft off-shell) gravitons that account for the (negative) Newtonian potential energy generated by the baryons is conserved and always in agreement with Bekenstein's area law of black holes. Moreover, their (positive) interaction energy reproduces the expected post-Newtonian correction and becomes of the order of the total ADM mass of the system when the size of the collapsing object approaches its gravitational radius. This result supports a scenario in which the gravitational collapse of regular baryonic matter produces a corpuscular black hole without central singularity, in which both gravitons and baryons are marginally bound and form a Bose-Einstein condensate at the critical point. The Hawking emission of baryons and gravitons is then described by the quantum depletion of the condensate and we show the two energy fluxes are comparable, albeit negligibly small on astrophysical scales.

4 pages, no figures. Minor changes and typos fixed

References in corpus (5)

• Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
• Black holes as self-sustained quantum states, and Hawking radiation
• The Lightest of Black Holes
• Black Hole Masses are Quantized
• Hawking radiation is corpuscular

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