TY - JOUR

T1 - Physical interpretation of cylindrically symmetric static gravitational fields

AU - Colding, J.

AU - Nielsen, N. K.

AU - Verbin, Y.

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0346170158&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.56.3371

DO - 10.1103/PhysRevD.56.3371

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0346170158

SN - 1550-7998

VL - 56

SP - 3371

EP - 3380

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 6

ER -