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arXiv 1606.04744hep-thgr-qc
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引力坍缩中的物质和引力子

Matter and gravitons in the gravitational collapse

Roberto Casadio, Andrea Giugno, Andrea Giusti

摘要:

我们考虑引力子在形成黑洞的重子物质坍缩中的作用。我们首先注意到,解释重子产生的(负)牛顿势能的(软壳外)引力子的有效数是守恒的,并且始终符合贝肯斯坦的黑洞面积定律。此外,它们的(正)相互作用能再现了预期的后牛顿修正,并成为系统的总ADM质量的顺序时,坍缩物体的大小接近其引力半径。这一结果支持了这样一种假设:规则重子物质的引力坍缩产生了一个没有中心奇点的微粒黑洞,其中引力子和重子都被边缘束缚,并在临界点形成玻色-爱因斯坦凝聚体。霍金发射的重子和引力子,然后描述的量子耗尽的凝聚体,我们表明这两个能量通量是可比的,虽然可以忽略不计的小天体物理尺度。

英文摘要:

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.

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