论文标题

Horndeski重力的黑洞温度

On Black Hole Temperature in Horndeski Gravity

论文作者

Hajian, K., Liberati, S., Sheikh-Jabbari, M. M., Vahidinia, M. H.

论文摘要

已经观察到,对于某些Horndeski重力理论的黑洞,WALD的熵公式不会导致黑洞热力学的正确第一定律。对于这个Horndeski的家族,重力和光子传播的速度通常是不同的,而Gravitons以与光子所见的有效度量相同的有效度量移动。我们表明,应从$2π$上面的表面重力中修改黑洞的温度,以包括该有效度量的效果。修改的温度是通过解决方案相空间方法明确计算的熵的,得出了正确的第一定律。我们的结果对霍金斯基的辐射和物种问题具有远远超出了霍尼斯基理论的影响。

It has been observed that for black holes in certain family of Horndeski gravity theories Wald's entropy formula does not lead to the correct first law for black hole thermodynamics. For this family of Horndeski theories speeds of propagation of gravitons and photons are in general different and gravitons move on an effective metric different than the one seen by photons. We show that the temperature of the black hole should be modified from surface gravity over $2π$ to include effects of this effective metric. The modified temperature, with the entropy unambiguously computed by the solution phase space method, yields the correct first law. Our results have far reaching implications for the Hawking radiation and species problem, going beyond the Horndeski theories.

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