A slowly rotating perfect fluid body in an ambient vacuum
نویسندگان
چکیده
A global model of a slowly rotating perfect fluid ball in general relativity is presented. To second order in the rotation parameter, the junction surface is an ellipsoidal cylinder. The interior is given by a limiting case of the Wahlquist solution, and the vacuum region is not asymptotically flat. The impossibility of joining an asymptotically flat vacuum region has been shown in a preceding work.
منابع مشابه
Slowly rotating charged fluid balls in the presence of a cosmological constant
We examine charged slowly rotating perfect fluids in the presence of a cosmological constant. The asymptotic form of the vacuum solutions to the linearised Einstein–Maxwell field equations is found and the possibility of matching this vacuum to the slow rotating García metric is considered. We show that, contrary to the case of zero cosmological constant, this García metric can be matched to an...
متن کاملO ct 1 99 9 The Wahlquist metric cannot describe an isolated rotating body
It is proven that the Wahlquist perfect fluid space-time cannot be smoothly joined to an exterior asymptotically flat vacuum region. The proof uses a power series expansion in the angular velocity, to a precision of the second order. In this approximation, the Wahlquist metric is a special case of the rotating Whittaker space-time. The exterior vacuum domain is treated in a like manner. We comp...
متن کاملEntropy generation due to unsteady hydromagnetic Couette flow and heat transfer with asymmetric convective cooling in a rotating system
Entropy generation in an unsteady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid between two infinite horizontal parallel plates in a rotating system have been analyzed. Both the lower and upper plates of the channel are subjected to asymmetric convective heat exchange with the ambient following the Newton's law of cooling. A numerical solution for governin...
متن کاملEllipsoidal shapes in general relativity: general definitions and an application
A generalization of the notion of ellipsoids to curved Riemannian spaces is given and its possible use to describe the shapes of rotating bodies in general relativity is considered. As an illustrative example, stationary, axisymmetric perfect-fluid spacetimes with a so-called confocal inside ellipsoidal symmetry are investigated in detail under the assumption that the 4-velocity of the fluid is...
متن کاملar X iv : 0 90 2 . 18 59 v 1 [ gr - q c ] 1 1 F eb 2 00 9 On the multipole moments of a rigidly rotating fluid body
∣ . (1) As already concluded by Bardeen and Wagoner, the general expectation is that this also holds for other spacetimes containing a central rigidly rotating perfect fluid. The recent work of Bradley and Fodor [2] lends support for this in the slowly rotating case. It is now interesting to ask the question whether this holds not only for the quadrupole moment but for every moment, |Qn| ≥ |Qn,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008