论文标题
黑洞大小的通用界限
Universal bounds on the size of a black hole
论文作者
论文摘要
对于爱因斯坦重力中的静态黑孔，如果物质字段满足一些一般条件，我们猜测三个有关黑洞空间大小的特征参数，即最外部光子球$ a _ {\ mathrm {\ mathrm {ph，out}} $ $ a _ {\ MATHCAL {H}} $满足一系列通用不等式$ 9A _ {\ MATHCAL {\ MATHCAL {H}}/4 \ LEQ A _ {\ MATHRM {pH，of}} \ leq a _ {我们在球形对称的情况下提供了一个完整的证明，并在一般静态案例中提供了一些证据来支持它。我们还讨论了一般静态间距的光子球的特性，并表明，与地平线相似，光子球也是空间的共形不变结构。
For static black holes in Einstein gravity, if matter fields satisfy a few general conditions, we conjecture that three characteristic parameters about the spatial size of black holes, namely the outermost photon sphere area $A_{\mathrm{ph,out}}$, the corresponding shadow area $A_{\mathrm{sh,out}}$ and the horizon area $A_{\mathcal{H}}$ satisfy a series of universal inequalities $9A_{\mathcal{H}}/4\leq A_{\mathrm{ph,out}}\leq A_{\mathrm{sh,out}}/3\leq 36πM^2$, where $M$ is the ADM mass. We present a complete proof in the spherically symmetric case and some pieces of evidence to support it in general static cases. We also discuss the properties of the photon spheres in general static spacetimes and show that, similar to horizon, photon spheres are also conformal invariant structures of the spacetimes.
