Gravitational Analogues of Non-linear Born Electrodynamics
James A. Feigenbaum, Peter G.O. Freund, Mircea Pigli (University of, Chicago)

TL;DR
This paper introduces gravitational analogues of nonlinear Born-Infeld electrodynamics, focusing on 2D cases with nonpolynomial scalar curvature Lagrangians, and explores their implications for black hole physics.
Contribution
It presents a novel formulation of gravitational analogues to nonlinear electrodynamics, specifically for 2D models with nonpolynomial scalar curvature Lagrangians.
Findings
Development of gravitational Born-Infeld analogues
Application to black hole problems in 2D models
Insights into nonlinear gravitational dynamics
Abstract
Gravitational analogues of the nonlinear electrodynamics of Born and of Born and Infeld are introduced and applied to the black hole problem. This work is mainly devoted to the 2-dimensional case in which the relevant lagrangians are nonpolynomial in the scalar curvature.
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