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arXiv 1406.3555hep-th
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弦论中极端黑洞对标量的吸收

Absorption of scalars by extremal black holes in string theory

Filipe Moura

摘要:

我们证明了d维极端球对称黑洞对最小耦合测试无质量标量场的低频吸收截面等于视界面积,即使存在弦理论$α'$修正.在经典理论中,吸收截面和黑洞熵之间有一个关系式$σ= 4 G S$。通过比较在每种情况下的视界面积和Wald熵的值,我们讨论了这种关系的有效性,在存在较高的导数修正极值黑洞在许多不同的情况下:在存在的电荷和磁荷,非超对称和超对称黑洞,在d=4和d=5维。我们考虑的例子似乎表明,这种关系是没有验证的$α'$修正的存在下,在一般情况下,虽然在某些特定的情况下是有效的(带电的最大超对称黑洞在d=5)。我们认为,$σ= 4 G S$的关系应在一般情况下是有效的吸收截面的标量场,虽然是独立的黑洞解,有其起源从弦论,因此没有最低限度地耦合。

英文摘要:

We show that the low frequency absorption cross section of minimally coupled test massless scalar fields by extremal spherically symmetric black holes in d dimensions is equal to the horizon area, even in the presence of string--theoretical $α'$ corrections. Classically one has the relation $σ= 4 G S$ between that absorption cross section and the black hole entropy. By comparing in each case the values of the horizon area and Wald's entropy, we discuss the validity of such relation in the presence of higher derivative corrections for extremal black holes in many different contexts: in the presence of electric and magnetic charges, for nonsupersymmetric and supersymmetric black holes, in d=4 and d=5 dimensions. The examples we consider seem to indicate that this relation is not verified in the presence of $α'$ corrections in general, although being valid in some specific cases (electrically charged maximally supersymmetric black holes in d=5). We argue that the relation $σ= 4 G S$ should in general be valid for the absorption cross section of scalar fields which, although being independent from the black hole solution, have their origin from string theory, and therefore are not minimally coupled.

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