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A toy model of viscous relativistic geometrically thick disk in\n Schwarzschild geometry

2019/09/23 by Sayantani Lahiri, Cláus Lämmerzahl, Lahiri, Sayantani +1 · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.1909.10381

openalex publication_date 2019/09/23 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

In this earliest study of thick accretion disks with viscosity effects, we\nconstruct stationary solutions of a relativistic geometrically thick accretion\ndisk in the Schwarzschild spacetime under the influence of shear viscosity and\nthe curvature of the black hole by solving the general relativistic causal\nNavier-Stokes equation. Motivated by the causal prescription of relativistic\nhydrodynamics initially introduced in M "uller-Israel-Stewart theories, our\napproach adopts a simplistic path and takes into account of only shear\nviscosity, discarding influences of bulk viscosity and heat flow. This work\ninvestigates possible impacts of both the shear viscosity tensor and black hole\ncurvature on the shape of a thick disk characterized by constant specific\nangular momentum distribution. The existence of the integrability condition of\nthe Navier-Stokes equation has been examined in our study which further\nsupports the existence of stationary solutions in the given set-up.\n

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