论文标题
在黑色弹跳,虫洞和部分幻影标量场上
On black bounces, wormholes and partly phantom scalar fields
论文作者
论文摘要
Simpson and Visser recently proposed a phenomenological way to avoid some kinds of space-time singularities by replacing a parameter whose zero value corresponds to a singularity (say, $r$) with the manifestly nonzero expression $r(u) = \sqrt{u^2 + b^2}$, where $u$ is a new coordinate, and $b =$ \const $>0$.这种技巧通常导致$ r $的常规$ r $以外的$ r $(称为“黑色弹跳”),希望模仿量子重力的一些预期结果,并且以前被用于使Schwarzschild,Reissner-Nordström,Kerr,Kerr和其他一些衡量标准应用。在本文中,它用于将Fisher溶液与一般相对论(导致蠕虫孔)和一个静态的,球体对称的膨胀黑色孔(导致常规的黑洞和蠕虫孔)的家族定向化。这些新的常规指标代表具有非零自我交互潜力的标量场的应力 - 能量张量的精确解决方案,并且在非线性电动力学框架中具有Lagrangian函数$ L(f)$,$ f = f_ f = f_ {μ才{μν} f^{μν} $。本研究中的一个新功能是,所涉及的标量场具有“被困的幽灵”特性,即在强场地和外部典型的幻影,在区域之间具有平稳的过渡。还表明,任何静态的球形对称度量都可以作为对爱因斯坦方程的精确解决方案,并具有上述场合组合的应力能量张量。
Simpson and Visser recently proposed a phenomenological way to avoid some kinds of space-time singularities by replacing a parameter whose zero value corresponds to a singularity (say, $r$) with the manifestly nonzero expression $r(u) = \sqrt{u^2 + b^2}$, where $u$ is a new coordinate, and $b =$ \const $>0$. This trick, generically leading to a regular minimum of $r$ beyond a black hole horizon (called a "black bounce"), may hopefully mimic some expected results of quantum gravity, and was previously applied to regularize the Schwarzschild, Reissner-Nordström, Kerr and some other metrics. In this paper it is applied to regularize the Fisher solution with a massless canonical scalar field in general relativity (resulting in a traversable wormhole) and a family of static, spherically symmetric dilatonic black holes (resulting in regular black holes and wormholes). These new regular metrics represent exact solutions of general relativity with a sum of stress-energy tensors of a scalar field with a nonzero self-interaction potential and a magnetic field in the framework of nonlinear electrodynamics with a Lagrangian function $L(F)$, $F = F_{μν} F^{μν}$. A novel feature in the present study is that the scalar fields involved have "trapped ghost" properties, that is, are phantom in a strong-field region and canonical outside it, with a smooth transition between the regions. It is also shown that any static, spherically symmetric metric can be obtained as an exact solution to the Einstein equations with the stress-energy tensor of the above field combination.