Self-gravitating anisotropic fluid. II: Newtonian theory
Abstract
This paper is the second in a sequence of three devoted to the formulation of a theory of self-gravitating anisotropic fluids in both Newtonian gravity and general relativity. In the first paper we set the stage, placed our work in context, and provided an overview of the results obtained in this paper and the next. In this second paper we develop the Newtonian theory, inspired by a real-life example of an anisotropic fluid, the (nematic) liquid crystal. We apply the theory to the construction of static and spherical stellar models. In the third paper we port the theory to general relativity, and exploit it to build relativistic stellar models. In addition to the usual fluid variables (mass density, velocity field), the Newtonian theory features a director vector field
- Publication:
-
General Relativity and Gravitation
- Pub Date:
- October 2024
- DOI:
- 10.1007/s10714-024-03303-y
- arXiv:
- arXiv:2406.03191
- Bibcode:
- 2024GReGr..56..119C
- Keywords:
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- Anisotropic fluids;
- Anisotropic stars;
- Newtonian gravity;
- General Relativity and Quantum Cosmology
- E-Print:
- 40 pages, 7 figures