A conformal mapping and isothermal perfect fluid model
نویسندگان
چکیده
منابع مشابه
A Conformal Mapping and Isothermal Perfect Fluid Model
Instead of conformal to flat spacetime, we take the metric conformal to a spacetime which can be thought of as “minimally” curved in the sense that free particles experience no gravitational force yet it has non-zero curvature. The base spacetime can be written in the Kerr-Schild form in spherical polar coordinates. The conformal metric then admits the unique three parameter family of perfect f...
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We prove the theorem: The necessary and sufficient condition for a spherically symmetric spacetime to represent an isothermal perfect fluid (barotropic equation of state with density falling off as inverse square of the curvature radius) distribution without boundary is that it is conformal to the “minimally” curved (gravitation only manifesting in tidal acceleration and being absent in particl...
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We prove the theorem: The necessary and suucient condition for a spherically symmetric spacetime to represent an isothermal perfect uid (barotropic equation of state with density falling oo as inverse square of the curvature radius) distribution without boundary is that it is conformal to the \minimally" curved (gravitation only manifesting in tidal acceleration and being absent in particle tra...
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Using conformal mapping, fluid motion inside the cochlear duct is derived from fluid motion in an infinite half plane. The cochlear duct is represented by a two-dimensional half-open box. Motion of the cochlear fluid creates a force acting on the cochlear partition, modeled by damped oscillators. The resulting equation is one-dimensional, more realistic, and can be handled more easily than exis...
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Stationary and axisymmetric perfect-fluid metrics are studied under the assumption of the existence of a conformal Killing vector field and in the general case of differential rotation. The possible Lie algebras for the conformal group and corresponding canonical line-elements are explicitly given. It turns out that only four different cases appear, the abelian and other three called I, II and ...
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ژورنال
عنوان ژورنال: General Relativity and Gravitation
سال: 1996
ISSN: 0001-7701,1572-9532
DOI: 10.1007/bf02113775