Areas of the Event Horizon and Stationary Limit Surface for a Kerr Black Hole
C. A. Pickett, J. D. Zund (Departments of Mathematics, Physics, New, Mexico State University, Las Cruces, New Mexico, USA)

TL;DR
This paper calculates the surface areas of the event horizon and stationary limit surface of a Kerr black hole, providing new geometric and physical insights into these regions.
Contribution
It offers the first explicit evaluation of the stationary limit surface area for a Kerr black hole, enhancing understanding of its geometry and physics.
Findings
Derived explicit formulas for the surface areas.
Proposed new interpretations of the stationary limit surface.
Enhanced understanding of Kerr black hole geometry.
Abstract
We present an elementary evaluation of the surface areas of the event horizon and stationary limit surface for an uncharged Kerr black hole. The latter appears not to have been previously given in the literature, and permits us to suggest new geometrical / physical interpretations of these areas.
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