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arXiv 1104.3043hep-thastro-ph.HEgr-qc
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膜世界黑洞和引力的尺度

Brane-world black holes and the scale of gravity

G. L. Alberghi, R. Casadio, O. Micu, A. Orlandi

摘要:

如果视界半径大于康普顿波长,或者等效地,如果它的简并度(用普朗克尺度单位的熵测量)很大,那么四维粒子的行为应该像经典黑洞。对于4 + d维的球对称黑洞,这两个参数再次导致质量阈值MC和退化尺度Mdeg的基本规模的重力MG的顺序。在膜世界中,由体效应引起的对史瓦西度规的偏离改变了视界半径和有效四维欧几里得作用量,使得MC \simeq Mdeg可能大于或小于MG。这开启了一种可能性,即质量小于MG的黑洞存在,即使M>10 TeV,也可能在LHC中产生,而由于MG的逆幂抑制,体引力子交换的影响仍然无法检测到。相反,即使在LHC上没有发现黑洞,MC>MG和MG \simeq 1TeV也是可能的。

英文摘要:

A particle in four dimensions should behave like a classical black hole if the horizon radius is larger than the Compton wavelength or, equivalently, if its degeneracy (measured by entropy in units of the Planck scale) is large. For spherically symmetric black holes in 4 + d dimensions, both arguments again lead to a mass threshold MC and degeneracy scale Mdeg of the order of the fundamental scale of gravity MG. In the brane-world, deviations from the Schwarzschild metric induced by bulk effects alter the horizon radius and effective four-dimensional Euclidean action in such a way that MC \simeq Mdeg might be either larger or smaller than MG. This opens up the possibility that black holes exist with a mass smaller than MG and might be produced at the LHC even if M>10 TeV, whereas effects due to bulk graviton exchanges remain undetectable because suppressed by inverse powers of MG. Conversely, even if black holes are not found at the LHC, it is still possible that MC>MG and MG \simeq 1TeV.

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