Uniqueness of dilaton Melvin-Schwarzschild solution
Marek Rogatko
TL;DR
This paper proves that the dilaton Melvin-Schwarzschild black hole is the unique static, axisymmetric solution in Einstein-Maxwell-dilaton theory with specific asymptotic behavior.
Contribution
It establishes the uniqueness of the dilaton Melvin-Schwarzschild solution among static axisymmetric solutions in Einstein-Maxwell-dilaton equations.
Findings
Proves the solution's uniqueness under given conditions.
Clarifies the solution space of Einstein-Maxwell-dilaton equations.
Supports the stability and special status of the dilaton Melvin-Schwarzschild black hole.
Abstract
We show that the dilaton Melvin-Schwarzschild black hole is the only asymptotically dilaton Melvin static axisymmetric solution of Einstein-Maxwell dilaton equations of motion.
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