dorsal/arxiv
View SchemaOptical Approach to Gravitational Redshift
| Authors | Y. G. Yi |
|---|---|
| Categories | |
| ArXiv ID | physics/0006006 |
| URL | https://arxiv.org/abs/physics/0006006 |
| DOI | 10.1007/s10509-011-0724-8 |
| Journal | Astrophysics and Space Science 336 (2011), 347-355 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
An optical approach begins by interpreting the gravitational redshift resulting to a change in the relative velocity of light due to the medium of propagation in the gravitational field. The discussion continues by pointing out an agreement in structure between the equation for rays in geometrical optics and the geodesic equation of general relativity. From their comparison we learn that the path of rays should be given by the relation $ds^2=n^2(r)dr^2+r^2d\theta^2$, not by $ds^2=dr^2+r^2d\theta^2$, in a medium with spherical symmetry of refractive index $n(r)$. The development of an optical analogy suggests introducing $n^2(r)$ in place of $g_{rr}$ as an optical version of the Schwarzschild metric. In form and content, $n^2(r)$ is different from $g_{rr}$. The optical point of view replaces the general-relativity explanations in terms of time and gravitation.
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"abstract": "An optical approach begins by interpreting the gravitational redshift\nresulting to a change in the relative velocity of light due to the medium of\npropagation in the gravitational field. The discussion continues by pointing\nout an agreement in structure between the equation for rays in geometrical\noptics and the geodesic equation of general relativity. From their comparison\nwe learn that the path of rays should be given by the relation\n$ds^2=n^2(r)dr^2+r^2d\\theta^2$, not by $ds^2=dr^2+r^2d\\theta^2$, in a medium\nwith spherical symmetry of refractive index $n(r)$. The development of an\noptical analogy suggests introducing $n^2(r)$ in place of $g_{rr}$ as an\noptical version of the Schwarzschild metric. In form and content, $n^2(r)$ is\ndifferent from $g_{rr}$. The optical point of view replaces the\ngeneral-relativity explanations in terms of time and gravitation.",
"arxiv_id": "physics/0006006",
"authors": [
"Y. G. Yi"
],
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"physics.gen-ph"
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"doi": "10.1007/s10509-011-0724-8",
"journal_ref": "Astrophysics and Space Science 336 (2011), 347-355",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Optical Approach to Gravitational Redshift",
"url": "https://arxiv.org/abs/physics/0006006"
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