General Relativistic Fluid Spheres. II. General Inequalities for Regular Spheres

1966 ◽  
Vol 146 ◽  
pp. 275 ◽  
Author(s):  
H. A. Buchdahl
Keyword(s):  
Relativistic Fluid ◽  
General Relativistic ◽  
Fluid Spheres

General relativistic fluid spheres with variable polytropic index

1966 ◽  
Vol 6 (2) ◽  
pp. 139-147
Author(s):  
R. van der Borght
Keyword(s):  
General Relativity ◽  
Compressible Fluid ◽  
Fluid Sphere ◽  
Polytropic Index ◽  
Field Equations ◽  
Relativistic Fluid ◽  
General Relativistic ◽  
Temperature And Pressure ◽  
Fluid Spheres

AbstractIn this paper we derive solutions of the field equations of general relativity for a compressible fluid sphere which obeys density-temperature and pressure-temperature relations which allow for a variation of the polytropic index throughout the sphere.

General Relativistic Fluid Spheres

1959 ◽  
Vol 116 (4) ◽  
pp. 1027-1034 ◽  
Author(s):  
H. A. Buchdahl
Keyword(s):  
Relativistic Fluid ◽  
General Relativistic ◽  
Fluid Spheres

scholarly journals Minkowski and Galilei/Newton Fluid Dynamics: A Geometric 3 + 1 Spacetime Perspective

Fluids ◽  
2018 ◽  
Vol 4 (1) ◽  
pp. 1 ◽  
Author(s):  
Christian Cardall
Keyword(s):  
Fluid Dynamics ◽  
Particle Number ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Balance Equations ◽  
Tensor Decompositions ◽  
Relativistic Fluid ◽  
Stress Energy ◽  
General Relativistic ◽  
Classical Particles

A kinetic theory of classical particles serves as a unified basis for developing a geometric 3 + 1 spacetime perspective on fluid dynamics capable of embracing both Minkowski and Galilei/Newton spacetimes. Parallel treatment of these cases on as common a footing as possible reveals that the particle four-momentum is better regarded as comprising momentum and inertia rather than momentum and energy; and, consequently, that the object now known as the stress-energy or energy-momentum tensor is more properly understood as a stress-inertia or inertia-momentum tensor. In dealing with both fiducial and comoving frames as fluid dynamics requires, tensor decompositions in terms of the four-velocities of observers associated with these frames render use of coordinate-free geometric notation not only fully viable, but conceptually simplifying. A particle number four-vector, three-momentum (1, 1) tensor, and kinetic energy four-vector characterize a simple fluid and satisfy balance equations involving spacetime divergences on both Minkowski and Galilei/Newton spacetimes. Reduced to a fully 3 + 1 form, these equations yield the familiar conservative formulations of special relativistic and non-relativistic fluid dynamics as partial differential equations in inertial coordinates, and in geometric form will provide a useful conceptual bridge to arbitrary-Lagrange–Euler and general relativistic formulations.

General Relativistic Polytropic Fluid Spheres.

1964 ◽  
Vol 140 ◽  
pp. 434 ◽  
Author(s):  
Robert F. Tooper
Keyword(s):  
General Relativistic ◽  
Fluid Spheres

Relativistic fluid spheres applicable to neutron star models

1978 ◽  
Vol 224 ◽  
pp. 993 ◽  
Author(s):  
P. G. Whitman ◽  
R. W. Redding
Keyword(s):  
Neutron Star ◽  
Star Models ◽  
Relativistic Fluid ◽  
Fluid Spheres

Mathematical modeling of compact anisotropic relativistic fluid spheres in higher spacetime dimensions

2016 ◽  
Vol 41 (3) ◽  
pp. 1062-1067
Author(s):  
Banashree Sen ◽  
Theophanes Grammenos ◽  
Piyali Bhar ◽  
Farook Rahaman
Keyword(s):  
Mathematical Modeling ◽  
Relativistic Fluid ◽  
Fluid Spheres
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