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arXiv 2204.08232gr-qc
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Einstein-vector-Gauss-Bonnet理论中的对称虫洞

Symmetric wormholes in Einstein-vector-Gauss-Bonnet theory

Simon Barton, Claus Kiefer, Burkhard Kleihaus, Jutta Kunz

摘要:

我们在爱因斯坦矢量高斯-邦纳理论中构造虫洞,其中一个真实的无质量矢量场耦合到较高曲率的高斯-邦纳不变量。我们考虑三个依赖于向量场平方的耦合函数。虫洞存在的各个域具有作为它们的边界i)黑洞,ii)具有奇异喉道的解,iii)具有退化喉道的解和iv)具有尖点奇异性的解。根据耦合函数的不同,虫洞的解决方案可以是单喉道或双喉道包围的赤道。虫洞的解决方案需要一个薄壳的物质在喉部,为了对称地继续到第二个渐近平坦的区域。这些虫洞时空允许束缚和非束缚粒子运动以及光环。

英文摘要:

We construct wormholes in Einstein-vector-Gauss-Bonnet theory where a real massless vector field is coupled to the higher curvature Gauss-Bonnet invariant. We consider three coupling functions which depend on the square of the vector field. The respective domains of existence of wormholes possess as their boundaries i) black holes, ii) solutions with a singular throat, iii) solutions with a degenerate throat and iv) solutions with cusp singularities. Depending on the coupling function wormhole solutions can feature a single throat or an equator surrounded by a double throat. The wormhole solutions need a thin shell of matter at the throat, in order to be symmetrically continued into the second asymptotically flat region. These wormhole spacetimes allow for bound and unbound particle motion as well as light rings.

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