论文标题
黑洞蒸发
Black Hole Evaporation in Hořava-Lifshitz Gravity
论文作者
论文摘要
制定了Ho红va-lifshitz（HL）重力，希望通过违反Lorentz的不变性解决爱因斯坦重力中的非赋形性问题和较高衍生性重力理论的幽灵问题。在这项工作中，我们考虑了各个时空维度的HL重力中的球形对称中性广告黑洞蒸发过程$ d $，并且具有详细的余额违规参数$ 0 \leqslantε^2 \ leqslant 1 $。我们发现，霍金蒸发下的黑洞的寿命取决于维度，$ d = 4,5 $的行为与$ d \ geqslant 6 $不同。对于$ε= 0 $，$ d = 4,5 $，黑洞允许零温度状态，而黑洞的寿命始终是无限的。这种现象遵守黑洞热力学的第三定律，这意味着黑洞成为蒸发末端的有效残留物。然而，由于$ d \ geqslant 6 $，黑洞的寿命不会与任何初始黑洞质量相差，并且受$ \ ell^{d-1} $的订单的限制，类似于schwarzschild-ads in Einstein in einstein in Einstein in einstein in einstein中的情况（$^2 = 1 $ $ d $ d $ d $ de $ de conters lofe lofs lofe ly l l laster lyth in l lasters laster laster lasters lasters laster。 $ 0<ε^2 <1 $的情况在质量上也相似，$ε= 0 $。
Hořava-Lifshitz (HL) gravity was formulated in hope of solving the non-renormalization problem in Einstein gravity and the ghost problem in higher derivative gravity theories by violating Lorentz invariance. In this work we consider the spherically symmetric neutral AdS black hole evaporation process in HL gravity in various spacetime dimensions $d$, and with detailed balance violation parameter $0\leqslant ε^2\leqslant 1$. We find that the lifetime of the black holes under Hawking evaporation is dimensional dependent, with $d=4,5$ behave differently from $d\geqslant 6$. For the case of $ε=0$, in $d=4,5$, the black hole admits zero temperature state, and the lifetime of the black hole is always infinite. This phenomenon obeys the third law of black hole thermodynamics, and implies that the black holes become an effective remnant towards the end of the evaporation. As $d\geqslant 6$, however, the lifetime of black hole does not diverge with any initial black hole mass, and it is bounded by a time of the order of $\ell^{d-1}$, similar to the case of Schwarzschild-AdS in Einstein gravity (which corresponds to $ε^2=1$), though for the latter this holds for all $d\geqslant 4$. The case of $0<ε^2<1$ is also qualitatively similar with $ε=0$.
