The Polish doughnuts revisited I. The angular momentum distribution and equipressure surfaces

TL;DR

This paper introduces a new family of analytic models for black hole accretion disks based on angular momentum and entropy distributions, revealing equipressure surface shapes similar to various disk types.

Contribution

It presents a novel analytic framework for modeling black hole accretion disks with specific angular momentum and entropy distributions, expanding understanding of disk structures.

Findings

Equipressure surfaces resemble those in thick, slim, and thin disks.

Models are consistent with ADAF structures.

Analytic solutions provide new insights into disk equilibrium shapes.

Abstract

We construct a new family of analytic models of black hole accretion disks in dynamical equilibria. Our construction is based on assuming distributions of angular momentum and entropy. For a particular choice of the distribution of angular momentum, we calculate the shapes of equipressure surfaces. The equipressure surfaces we find are similar to those in thick, slim and thin disks, and to those in ADAFs.