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, 16:30–16:45, KH 02.012
Einstein equations for Area Metric geometries from entanglement — •Aranya Bhattacharya1,2, Lavish Chawla1,3, Mario Flory1, and Mateusz Kulig1 — 1Institute of Theoretical Physics, Jagiellonian University, Lojasiewicza 11, 30-348 Krakow, Poland — 2School of Mathematics, University of Bristol, Fry Building Woodland Road, Bristol BS8 1UG, UK — 3Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitat Jena, Max-Wien-Platz 1, D-07743 Jena, Germany
Area metrics provide a generalised notion of geometry, in which areas are fundamental but lengths may not be defined at all. They can be motivated from string theory, loop quantum gravity, and entropic gravity alike, which we will briefly touch upon during the talk. In this work, we use the holographic duality and the first law of entanglement as first principles, from which an equation constraining area metric fluctuations around a four dimensional Anti-de Sitter (AdS) background can be derived, thus extending the linearised Einsteins equations for these generalised geometries. In the framework of the AdS/CFT correspondence, these area metric fluctuations can be interpreted as encoding the energy-momentum tensor perturbations of a holographically dual three dimensional conformal field theory (CFT). For further implications of these results, see the talk by M. Flory.
Keywords: Area Metric; Entanglement; AdS/CFT; Einstein equations