Exact Primordial Black Strings in Four Dimensions

Abstract

A solution of effective string theory in four dimensions is presented which admits interpretation of a rotating black cosmic string. It is constructed by tensoring the three dimensional black hole, extended with the Kalb-Ramond axion, with a flat direction. The physical interpretation of the solution is discussed, with special attention on the axion, which is found to play a role very similar to a Higgs field. Finally, it is pointed out that the solution represents an exact WZWN $\sigma$ model on the string world sheet, to all orders in the inverse string tension ${\alpha }^{\prime }$.

11 pages plain TeX, Univ. of Alberta preprint Alberta-THY-14-1993

References in corpus (16)

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Cited by in corpus (17)

• Rotating Charged Black Strings in General Relativity
• Black plane solutions in four dimensional spacetimes
• Hawking Radiation from Elko Particles Tunnelling across Black Strings Horizon
• Conformally coupled scalar black holes admit a flat horizon due to axionic charge
• Hawking radiation of Dirac particles from black strings
• Hawking temperature of rotating charged black strings from tunneling
• Noncommutative geometry inspired rotating black string
• Adding Twist to Anisotropic Fluids
• The Three-Dimensional BTZ Black Hole as a Cylindrical System in Four-Dimensional General Relativity
• Thermodynamics of charged and rotating black strings
• $<{\varphi }^2>$ in the Spacetime of a Cylindrical Black Hole
• Four dimensional string solutions in Hořava-Lifshitz gravity
• Loop variables in the geometry of a rotating black string
• Gravitational Effects of Quantum Fields in the Interior of a Cylindrical Black Hole
• Particle Dynamics Around the Black String
• Inside a Spinning Black String
• Massless scalar fields and topological black holes