Black holes in three-dimensional Einstein-Born-Infeld-dilaton theory
Ryo Yamazaki, Daisuke Ida (Kyoto University)
TL;DR
This paper derives and analyzes black hole solutions in a three-dimensional Einstein-Born-Infeld-dilaton framework, highlighting differences from Maxwell electrodynamics and exploring conditions for black hole existence.
Contribution
It presents new static, circularly symmetric solutions in the Einstein-Born-Infeld-dilaton system, including black holes, and compares nonlinear electrodynamics with Maxwell theory.
Findings
Black hole solutions exist for negative cosmological constant and sufficient mass.
Differences between Born-Infeld and Maxwell electrodynamics are identified.
Conditions for black hole formation are established.
Abstract
The three-dimensional static and circularly symmetric solution of the Einstein-Born-Infeld-dilaton system is derived. The solutions corresponding to low energy string theory are investigated in detail, which include black hole solutions if the cosmological constant is negative and the mass parameter exceeds a certain critical value. Some differences between the Born-Infeld nonlinear electrodynamics and the Maxwell electrodynamics are revealed.
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