Aspects of Higher Order Gravity and Holography
Elcio Abdalla, L. Alejandro Correa-Borbonet

TL;DR
This paper explores thermodynamical properties of Lovelock gravity across various dimensions, examining the applicability of the holographic principle, and highlighting limitations of the area law and brickwall method beyond Einstein-Hilbert theory.
Contribution
It analyzes the thermodynamics of Lovelock gravity in multiple dimensions, revealing potential failures of standard methods and principles in more general higher-order gravity theories.
Findings
Area law may fail in Lovelock gravity
Brickwall method's limitations in higher dimensions
Holographic principle's role in thermodynamics
Abstract
Some thermodynamical properties of Lovelock gravity are discussed in several space-time dimensions, the holographic principle being one of the ingredients of the discussion. As it turns out, the area law and the brickwall method, though correct for the Einstein-Hilbert theory, may fail to work in general.
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