English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Centrifugal force induced by relativistically rotating spheroids and cylinders

Katz, J., Lynden-Bell, D., & Bicak, J. (2011). Centrifugal force induced by relativistically rotating spheroids and cylinders. Classical and quantum gravity, 28(6): 065004. doi:10.1088/0264-9381/28/6/065004.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-08EA-D Version Permalink: http://hdl.handle.net/21.11116/0000-0002-6EA9-5
Genre: Journal Article

Files

show Files
hide Files
:
1102.5242.pdf (Preprint), 188KB
Name:
1102.5242.pdf
Description:
File downloaded from arXiv at 2012-01-17 13:16
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
CQG_28_6_065004.pdf (Any fulltext), 207KB
 
File Permalink:
-
Name:
CQG_28_6_065004.pdf
Description:
-
Visibility:
Restricted (Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam-Golm; )
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Katz, Joseph, Author
Lynden-Bell, Donald, Author
Bicak, Jiri1, Author              
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

Content

show
hide
Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Starting from the gravitational potential of a Newtonian spheroidal shell we discuss electrically charged rotating prolate spheroidal shells in the Maxwell theory. In particular we consider two confocal charged shells which rotate oppositely in such a way that there is no magnetic field outside the outer shell. In the Einstein theory we solve the Ernst equations in the region where the long prolate spheroids are almost cylindrical; in equatorial regions the exact Lewis "rotating cylindrical" solution is so derived by a limiting procedure from a spatially bound system. In the second part we analyze two cylindrical shells rotating in opposite directions in such a way that the static Levi-Civita metric is produced outside and no angular momentum flux escapes to infinity. The rotation of the local inertial frames in flat space inside the inner cylinder is thus exhibited without any approximation or interpretational difficulties within this model. A test particle within the inner cylinder kept at rest with respect to axes that do not rotate as seen from infinity experiences a centrifugal force. Although the spacetime there is Minkowskian out to the inner cylinder nevertheless that space has been induced to rotate, so relative to the local inertial frame the particle is traversing a circular orbit.

Details

show
hide
Language(s):
 Dates: 2011-02-252011
 Publication Status: Published in print
 Pages: 12 pages, 2 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1102.5242
DOI: 10.1088/0264-9381/28/6/065004
URI: http://arxiv.org/abs/1102.5242
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Classical and quantum gravity
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 28 (6) Sequence Number: 065004 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1