类光膜作为Misner-Wheeler型虫洞的引力源
Lightlike Brane as a Gravitational Source of Misner-Wheeler-Type Wormhole
摘要:
给出了类光p-膜的一致拉格朗日描述的两种等价形式--Polyakov型描述和它的对偶Nambu-Goto型描述。LL-膜的一个重要特征是膜张力表现为一个非平凡的附加动力学自由度。其次,详细讨论了D=4 Kerr或Kerr-Newman引力背景下p=2 LL-膜动力学(作为测试膜)的性质。结果表明,LL-膜自动定位在视界上,并以相同的角速度旋转。最后,在D=4的体原子与LL膜相互作用的自洽无源Einstein-Maxwell系统中构造了Misner-Wheeler型Reissner-Nordstroem虫洞.相关的虫孔喉精确地位于LL-膜上,位于外部Reissner-Nordstroem视界上,Reissner-Nordstroem质量和电荷是动态LL-膜张力的函数。
英文摘要:
Consistent Lagrangian description of lightlike p-branes (LL-branes) is presented in two equivalent forms - a Polyakov-type formulation and a dual to it Nambu-Goto-type formulation. An important characteristic feature of the LL-branes is that the brane tension appears as a non-trivial additional dynamical degree of freedom. Next, properties of p=2 LL-brane dynamics (as a test brane) in D=4 Kerr or Kerr-Newman gravitational backgrounds are discussed in some detail. It is shown that the LL-brane automatically positions itself on the horizon and rotates along with the same angular velocity. Finally, a Misner-Wheeler-type of Reissner-Nordstroem wormhole is constructed in a self-consistent electrically sourceless Einstein-Maxwell system in the D=4 bulk interacting with a LL-brane. The pertinent wormhole throat is located precisely at the LL-brane sitting on the outer Reissner-Nordstroem horizon with the Reissner-Nordstroem mass and charge being functions of the dynamical LL-brane tension.
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