TY - JOUR
T1 - A virial theorem for rotating charged perfect fluids in general relativity
AU - Georgiou, A.
N1 - Original article can be found at: http://www.iop.org Copyright Institute of Physics and IOP Publishing Ltd. [Full text of article is not available in the UHRA]
PY - 2003
Y1 - 2003
N2 - We obtain an exact form of the virial theorem in general relativity, which is sufficiently general to be applied to charged, conducting, rotating perfect fluids in electromagnetic and gravitational fields. The case of infinite conductivity is of particular importance in astrophysics and we derive the relevant equations from the general results. We indicate how to calculate the post-Newtonian limits of various expressions and show that in the absence of both, the electric and magnetic fields, they lead to Chandrasekhar's post-Newtonian virial theorem in hydrodynamics. We also note that Chandrasekhar's (Newtonian) virial theorem in hydromagnetics may be derived from the Newtonian limit of the exact equations obtained. Some possible applications are pointed out. Finally, we use the exact form of the virial theorem to obtain, in co-moving coordinates, equilibrium conditions for bounded rotating charged dust.
AB - We obtain an exact form of the virial theorem in general relativity, which is sufficiently general to be applied to charged, conducting, rotating perfect fluids in electromagnetic and gravitational fields. The case of infinite conductivity is of particular importance in astrophysics and we derive the relevant equations from the general results. We indicate how to calculate the post-Newtonian limits of various expressions and show that in the absence of both, the electric and magnetic fields, they lead to Chandrasekhar's post-Newtonian virial theorem in hydrodynamics. We also note that Chandrasekhar's (Newtonian) virial theorem in hydromagnetics may be derived from the Newtonian limit of the exact equations obtained. Some possible applications are pointed out. Finally, we use the exact form of the virial theorem to obtain, in co-moving coordinates, equilibrium conditions for bounded rotating charged dust.
KW - fluid dynamics
KW - accelerators
KW - beams and electromagnetism
KW - gravitation and cosmology
KW - astrophysics and astroparticles
U2 - 10.1088/0264-9381/20/2/309
DO - 10.1088/0264-9381/20/2/309
M3 - Article
SN - 0264-9381
VL - 20
SP - 359
EP - 368
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 2
ER -