Rindler fluids from gravitational shockwaves

• DOI: 10.1007/jhep05(2024)331
• Publication Date: 2024-05-30T15:02:23Z
• Authors: Sang-Eon Bak; Cynthia Keeler; Yiwen Zhang; Kathryn M. Zurek
• Keywords: High Energy Physics - Theory; Stochastic Processes; Field Theory Hydrodynamics; FOS: Physical sciences; QC770-798; General Relativity and Quantum Cosmology (gr-qc); 01 natural sciences; General Relativity and Quantum Cosmology; High Energy Physics - Phenomenology; High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; Models of Quantum Gravity

We study a correspondence between gravitational shockwave geometry and its fluid description near Rindler horizon in Minkowski spacetime. Utilizing the Petrov classification that describes algebraic symmetries for Lorentzian spaces, we establish an explicit mapping potential metric perturbation, where Einstein equation is equivalent to incompressibility condition of fluid, augmented by source. Then consider Ansatz stochastic quantum source which has physical interpretation shockwaves created vacuum energy fluctuations. Under such circumstance, equation, or equivalently, becomes differential equation. By smearing on stretched Lorentz invariant manner with Planckian width (similarly membrane paradigm), integrate fluctuations find accumulated effect variance round-trip time photon traversing causal diamond.