In the present paper we prove a uniqueness theorem for the regular static, traversable wormhole solutions to the Einstein phantom scalar field theory with two asymptotically flat regions (ends). We show that when a certain condition on the asymptotic values of the scalar field is imposed such solutions are uniquely specified by their mass M and the scalar charge D. The main arguments in the proof are based on the positive energy theorem.
机构:
Sofia Univ, Dept Theoret Phys, Sofia 1164, Bulgaria
Carl von Ossietzky Univ Oldenburg, Inst Phys, D-26111 Oldenburg, GermanySofia Univ, Dept Theoret Phys, Sofia 1164, Bulgaria
Nedkova, Petya
Yazadjiev, Stoytcho
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机构:
Sofia Univ, Dept Theoret Phys, Sofia 1164, Bulgaria
Eberhard Karls Univ Tubingen, Theoret Astrophys, D-72076 Tubingen, Germany
Bulgarian Acad Sci, Inst Math & Informat, Sofia 1164, BulgariaSofia Univ, Dept Theoret Phys, Sofia 1164, Bulgaria
机构:
Univ Estadual Paulista, UNESP, Inst Fis Teor, R Dr Bento T Ferraz 271,Bl II, BR-01140070 Sao Paulo, SP, BrazilUniv Estadual Paulista, UNESP, Inst Fis Teor, R Dr Bento T Ferraz 271,Bl II, BR-01140070 Sao Paulo, SP, Brazil