The general stationary gravitational vacuum field of cylindrical symmetry

Frehland, E.

doi:10.1007/bf01877754

Cited by 25 publications

(15 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hence the spacetime is flat inside the shell (R = 0) and the exterior field is static ( B = 0). These conclusions agree with the results of the exact theory [6][7][8], though the general situation is more complicated [6].…”

Section: Introductionsupporting

confidence: 89%

Rotating cylindrical systems and gravitomagnetism

Mashhoon¹,

Santos²

2000

Ann. Phys.

View full text Add to dashboard Cite

show abstract

Section: Introductionsupporting

confidence: 89%

Rotating cylindrical systems and gravitomagnetism

Mashhoon¹,

Santos²

2000

Ann. Phys.

View full text Add to dashboard Cite

show abstract

“…Recently we have shown [1] (in the following cited as I), that the general stationary cylindrical vacuum field, found by Davies and Caplan [2] is static, whereafter, it is identical with Levi-Civitas general static solution [3]. Hence any stationary (rotating) cylindrical matter distributions generate a static cylindrical vacuum field.…”

Section: Introductionmentioning

confidence: 95%

Exact gravitational field of the infinitely long rotating hollow cylinder

Frehland

1972

Commun.Math. Phys.

Self Cite

View full text Add to dashboard Cite

The vacuum line element inside an infinitely long rotating hollow cylinder is the usual flat space line element. It is fitted in a most general way to the general cylindrical vacuum field outside at the singular hypersurface R o = const, representing the infinitely thin hollow cylinder. With the use of the jump conditions at R o = const the surface densities τ x μ , of which the energy-momentum-stress tensor τ^ of the shell consists, are calculated. The physical properties of the cylinder, as derived from the eigenvalues and -vectors of τj, and the generated gravitational field are discussed in full detail.

show abstract

“…(3.10c) 10 In [46] it was shown that the above solution can be transformed to Kasner's solution [47]. However, the transformation becomes singular in the static limit (given by E → 0 as we will see later) and hence is not suited to our needs.…”

Section: Bulk-brane Systemmentioning

confidence: 99%

Rotating kinky braneworlds

Niedermann

Saffin

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

Cylindrical braneworlds have been used in the literature as a convenient way to resolve co-dimension-two branes. They are prevented from collapsing by a massless worldvolume field with non-trivial winding, but here we discuss another way of preventing collapse, which is to rotate the brane. We use a simple microscopic field theory model of a domain wall with a condensate for which rotation is a necessity, not just a nice added extra. This is due to a splitting instability, whereby the effective potential trapping the condensate is not strong enough to hold it on the defect in the presence of winding without charge.We use analytic defect solutions in the field theory (kinky vortons) to construct a thinwall braneworld model by including gravitational dynamics, and we allow for the rotation required by the microscopic theory. We then discuss the impact rotation has on the bulk and brane geometry, thereby providing an anchor for further cosmological investigations. Our setup naturally leads to worldvolume fields living at slightly different radii, and we speculate on the consequences of this in regard to the fermion mass-hierarchy.

show abstract

The general stationary gravitational vacuum field of cylindrical symmetry

Abstract: The general stationary vacuum gravitational field of cylindrical symmetry as recently found by Davies and Caplan is even static. The possible Petrov types of the Riemann tensor are I, D or O. In spacelike infinity the spacetime becomes necessarily flat.

Cited by 25 publications

References 3 publications

Rotating cylindrical systems and gravitomagnetism

Rotating cylindrical systems and gravitomagnetism

Exact gravitational field of the infinitely long rotating hollow cylinder

Rotating kinky braneworlds

Contact Info

Product

Resources

About