Erlangen 2026 – scientific programme
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GR: Fachverband Gravitation, Relativistische Astrophysik und Kosmologie
GR 15: Quantum Gravity and Quantum Cosmology II
GR 15.2: Talk
Thursday, March 19, 2026, 16:15–16:35, KH 02.012
Area Metric actions and equations on an AdS background — •Mario Flory1, Aranya Bhattacharya1,2, Lavish Chawla1,3, and Mateusz Kulig1 — 1Jagiellonian University, Cracow, Poland — 2University of Bristol, Bristol, UK — 3Friedrich-Schiller-Universität, Jena, Germany
Following the talk by A. Bhattacharya, we study Lagrangians governing linearised area metric fluctuations on an Anti-de Sitter (AdS) background. Our aim is to identify actions whose equations of motion respect the requirements imposed by the holographic principle, with particular emphasis on the allowed boundary behaviour of the solutions. We demonstrate that rewriting area metric fluctuations in terms of Lanczos-like potentials yields a notably elegant model. Interesting parallels with conformal (i.e., Weyl-squared) gravity naturally arise and will be discussed.
Keywords: Area Metrics; Anti-de Sitter space; Holographic Principle; Emergent gravity; Modified gravity