Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra

Details Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra

1996-12-18

arxiv.org/abs/gr-qc/9612049v1

Rev.Mod.Phys.70:427-446,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

39 pages, 9 figures and 2 tables available on request from the authors

Scientific paper

10.1103/RevModPhys.70.427

Stimulated by a scholium in Newton's Principia we find some beautiful results in classical mechanics which can be interpreted in terms of the orbits in the field of a mass endowed with a gravomagnetic monopole. All the orbits lie on cones! When the cones are slit open and flattened the orbits are exactly the ellipses and hyperbolae that one would have obtained without the gravomagnetic monopole. The beauty and simplicity of these results has led us to explore the similar problems in Atomic Physics when the nuclei have an added Dirac magnetic monopole. These problems have been explored by others and we sketch the derivations and give details of the predicted spectrum of monopolar hydrogen. Finally we return to gravomagnetic monopoles in general relativity. We explain why NUT space has a non-spherical metric although NUT space itself is the spherical space-time of a mass with a gravomagnetic monopole. We demonstrate that all geodesics in NUT space lie on cones and use this result to study the gravitational lensing by bodies with gravomagnetic monopoles. We remark that just as electromagnetism would have to be extended beyond Maxwell's equations to allow for magnetic monopoles and their currents so general relativity would have to be extended to allow torsion for general distributions of gravomagnetic monopoles and their currents. Of course if monopoles were never discovered then it would be a triumph for both Maxwellian Electromagnetism and General Relativity as they stand!

Affiliated with

Also associated with

No associations

Rating

Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-98642