TL;DR
This paper introduces a generalized Klein-Gordon equation within Anti-de Sitter space-time, presenting a four-parameter family of solutions including time-dependent bound states, expanding understanding of scalar fields in curved spacetime.
Contribution
It proposes a new generalization of the Klein-Gordon equation in AdS space and identifies a novel family of solutions, including dynamic bound states.
Findings
Four-parameter family of solutions in AdS
Existence of time-dependent bound states
Enhanced understanding of scalar fields in curved spacetime
Abstract
I propose a generalization of the Klein-Gordon equation in the framework of AdS space-time and exhibit a four parameter family of solutions among which there is a two parameter family of time-dependent bound states.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Mechanics and Non-Hermitian Physics · Algebraic and Geometric Analysis