Physical interpretation of cylindrically symmetric static gravitational fields

J. Colding, N. K. Nielsen, Y. Verbin

פרסום מחקרי: פרסום בכתב עתמאמרביקורת עמיתים


An explicit relationship is determined between the interior properties of a static cylindrical matter distribution and the metric of the exterior space-time according to Einstein gravity for space-time dimensionality larger than or equal to four. This is achieved through use of a coordinate system isotropic in the transverse coordinates. As a corollary, similar results are obtained for a spherical matter distribution in Brans-Dicke gravity for dimensions larger than or equal to three. The approach used here leads to consistency conditions for those parameters characterizing the exterior metric. It is shown that these conditions are equivalent to the requirement of hydrostatic equilibrium of the matter distribution (generalized Oppenheimer-Volkoff equations). These conditions lead to a consistent Newtonian limit where pressures and the gravitational constant go to zero at the same rate.

שפה מקוריתאנגלית
עמודים (מ-עד)3371-3380
מספר עמודים10
כתב עתPhysical Review D - Particles, Fields, Gravitation and Cosmology
מספר גיליון6
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - 1997

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