论文标题
超旋转的kerr-sen-ads $ _4 $黑洞总是超级进入吗?
Are ultra-spinning Kerr-Sen-AdS$_4$ black holes always super-entropic ?
论文作者
论文摘要
我们研究了四维Kerr-Sen-Ads Black Hole及其超旋转对应物的热力学,并验证两个黑洞是否已完整为第一定律,而Bekenstein-Smarr质量是黑洞热力学的。此外,我们为通常的和超旋转的Kerr-Sen-ads $ _4 $ solutions提供了新的Christodoulou-ruffini式平方质量公式。我们表明,这种超旋转的kerr-sen-ads $ _4 $黑洞并不总是违反反向等距不平等现象(RII),因为等速比的值可能比统一更大/小或等于Unity,取决于解决方案参数在参数中的位置。该属性显然与Kerr-Newman-Ads $ _4 $超级渗透黑洞的属性不同,该黑洞始终严格违反RII,尽管它们在其他方面都有一些相似的属性,例如Horizon几何形状和结合边界。此外,还发现,尽管存在相同的质量($ m_e \ geqslant 8l/\ sqrt {27}} $,$ l $均为宇宙学量表),既适合宇宙学量表) $ r _ {\ rm \,hp} = l/\ sqrt {3} $,这是后者的最小值。因此,这两种不同类型的四维超旋转电荷广告黑洞表现出显着的物理差异。
We study thermodynamics of the four-dimensional Kerr-Sen-AdS black hole and its ultra-spinning counterpart, and verify that both black holes fullfil the first law and Bekenstein-Smarr mass formulae of black hole thermodynamics. Furthermore, we derive new Christodoulou-Ruffini-like squared-mass formulae for the usual and ultra-spinning Kerr-Sen-AdS$_4$ solutions. We show that this ultra-spinning Kerr-Sen-AdS$_4$ black hole does not always violate the Reverse Isoperimetric Inequality (RII) since the value of the isoperimetric ratio can be larger/smaller than, or equal to unity, depending upon where the solution parameters lie in the parameters space. This property is obviously different from that of the Kerr-Newman-AdS$_4$ super-entropic black hole, which always strictly violates the RII, although both of them have some similar properties in other aspects, such as horizon geometry and conformal boundary. In addition, it is found that while there exists the same lower bound on mass ($m_e \geqslant 8l/\sqrt{27}$ with $l$ being the cosmological scale) both for the extremal ultra-spinning Kerr-Sen-AdS$_4$ black hole and for the extremal super-entropic Kerr-Newman-AdS$_4$ case, the former has a maximal horizon radius: $r_{\rm\, HP} = l/\sqrt{3}$ which is the minimum of the latter. Therefore, these two different kinds of four-dimensional ultra-spinning charged AdS black holes exhibit some significant physical differences .