Similar to optical convex and concave lenses, are there any gravitational convergent and divergent lenses in nature? This idea may help to investigate the alternative propulsion for spacecrafts.
On the other hand, a gravitational lensing refers to a distribution of matter (such as a cluster of galaxies) between a distant source and an observer, that is capable of bending the light from the source, as it travels towards the observer. However, I emphasize on the gravitational lens focusing the gravitational field on a small area by converging the field lines and vice-versa. Here, I do not mind the effect of gravity on light bending.
This is a good question.
Mathematically, a positive answer to this question is given in terms of gravitational lens models in
M. Sereno, The Gravitational Lens Equation, Ph.D. thesis, Universita degli Studi di Napoli Federico II, 2003:
http://www.fedoa.unina.it/140/1/PhDThesis.pdf
See Section 1.9, starting on page 28, on space-time near a gravitational lens. Lens models are introduced in Section 3, starting on page 55. The penultimate view of lens is given in Chapter 4, starting on page 83, on lensing by clusters of galaxies.
Yet another view of gravitational lens is given in
K.G. Thanjavur, Cosmic Applications of Gravitational Lens Assisted Spectroscopy (GLAS), Ph.D. thesis, University of Victoria, 2008:
file:///Users/jfpeters/Downloads/thesis_fini.pdf
This thesis includes a good introduction to gravitational lensing in Appendix A, starting on page 221.
This is a good question.
Mathematically, a positive answer to this question is given in terms of gravitational lens models in
M. Sereno, The Gravitational Lens Equation, Ph.D. thesis, Universita degli Studi di Napoli Federico II, 2003:
http://www.fedoa.unina.it/140/1/PhDThesis.pdf
See Section 1.9, starting on page 28, on space-time near a gravitational lens. Lens models are introduced in Section 3, starting on page 55. The penultimate view of lens is given in Chapter 4, starting on page 83, on lensing by clusters of galaxies.
Yet another view of gravitational lens is given in
K.G. Thanjavur, Cosmic Applications of Gravitational Lens Assisted Spectroscopy (GLAS), Ph.D. thesis, University of Victoria, 2008:
file:///Users/jfpeters/Downloads/thesis_fini.pdf
This thesis includes a good introduction to gravitational lensing in Appendix A, starting on page 221.
In the formation known as Einstein's Cross, four images of the same distant quasar appear around a foreground galaxy due to strong gravitational lensing.
The interaction of EM with gravitational field resembles to be negligible. On the other hand, there is no material available to enhance the gravitational field , similar to what happens for magnetic or electric fields.
According to James' comments , it is an iterstellar phenomena, however I expect, at least in small scale, it happens on earth!
in small scale on the earth!
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