Charged anisotropic matter with linear or nonlinear equation of state
- Institute of Mathematics, Kings College, University of Aberdeen, Aberdeen AB24 3UE (United Kingdom)
Ivanov pointed out substantial analytical difficulties associated with self-gravitating, static, isotropic fluid spheres when pressure explicitly depends on matter density. Simplifications achieved with the introduction of electric charge were noticed as well. We deal with self-gravitating, charged, anisotropic fluids and get even more flexibility in solving the Einstein-Maxwell equations. In order to discuss analytical solutions we extend Krori and Barua's method to include pressure anisotropy and linear or nonlinear equations of state. The field equations are reduced to a system of three algebraic equations for the anisotropic pressures as well as matter and electrostatic energy densities. Attention is paid to compact sources characterized by positive matter density and positive radial pressure. Arising solutions satisfy the energy conditions of general relativity. Spheres with vanishing net charge contain fluid elements with unbounded proper charge density located at the fluid-vacuum interface. Notably the electric force acting on these fluid elements is finite, although the acting electric field is zero. Net charges can be huge (10{sup 19}C) and maximum electric field intensities are very large (10{sup 23}-10{sup 24} statvolt/cm) even in the case of zero net charge. Inward-directed fluid forces caused by pressure anisotropy may allow equilibrium configurations with larger net charges and electric field intensities than those found in studies of charged isotropic fluids. Links of these results with charged strange quark stars as well as models of dark matter including massive charged particles are highlighted. The van der Waals equation of state leading to matter densities constrained by cubic polynomial equations is briefly considered. The fundamental question of stability is left open.
- OSTI ID:
- 21432928
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevD.82.044052; (c) 2010 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
ANALYTICAL SOLUTION
ANISOTROPY
CHARGE DENSITY
CHARGED PARTICLES
CONFIGURATION
DENSITY
EINSTEIN-MAXWELL EQUATIONS
ELECTRIC CHARGES
ELECTRIC FIELDS
ENERGY DENSITY
EQUATIONS OF STATE
GENERAL RELATIVITY THEORY
INTERFACES
NONLINEAR PROBLEMS
NONLUMINOUS MATTER
S QUARKS
STARS
VAN DER WAALS FORCES
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
MATHEMATICAL SOLUTIONS
MATTER
PHYSICAL PROPERTIES
QUARKS
RELATIVITY THEORY
STRANGE PARTICLES