Einstein–Rosen metric
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In general relativity, theEinstein–Rosen metricis an exact solution to the Einstein field equations derived in 1937 byAlbert EinsteinandNathan Rosen.[1]It is the first exact solution to describe the propagation of agravitational wave.
This metric can be written in a form such that theBelinski–Zakharov transformapplies, and thus has the form of agravitational soliton.
In 1972 and 1973, J. R. Rao, A. R. Roy, and R. N. Tiwari published a class of exact solutions involving the Einstein-Rosen metric.[2][3][4]
In 2021 Robert F. Penna found an algebraic derivation of the Einstein-Rosen metric.[5]
In the history of science, one might consider as a footnote to the Einstein-Rosen metric that Einstein, for some time, believed that he had found a non-existence proof for gravitational waves.[6]
Notes[edit]
- ^Einstein, Albert & Rosen, Nathan (1937). "On Gravitational waves".Journal of the Franklin Institute.223:43–54.Bibcode:1937FrInJ.223...43E.doi:10.1016/S0016-0032(37)90583-0.
- ^Rao, J.R.; Roy, A.R.; Tiwari, R.N. (1972). "A class of exact solutions for coupled electromagnetic and scalar fields for einstein-rosen metric. I".Annals of Physics.69(2): 473–486.Bibcode:1972AnPhy..69..473R.doi:10.1016/0003-4916(72)90187-X.
- ^Rao, J.R; Tiwari, R.N; Roy, A.R (1973). "A class of exact solutions for coupled electromagnetic and scalar fields for Einstein-Rosen metric. Part IA".Annals of Physics.78(2): 553–560.Bibcode:1973AnPhy..78..553R.doi:10.1016/0003-4916(73)90272-8.
- ^Roy, A.R; Rao, J.R; Tiwari, R.N (1973). "A class of exact solutions for coupled electromagnetic and scalar fields for einstein-rosen metric. II".Annals of Physics.79(1): 276–283.Bibcode:1973AnPhy..79..276R.doi:10.1016/0003-4916(73)90293-5.
- ^Penna, Robert F. (2021). "Einstein–Rosen waves and the Geroch group".Journal of Mathematical Physics.62(8): 082503.arXiv:2106.13252.Bibcode:2021JMP....62h2503P.doi:10.1063/5.0061929.S2CID235651978.
- ^Kennefick, Daniel (2005)."Einstein Versus thePhysical Review".Physics Today.58(9): 43–48.Bibcode:2005PhT....58i..43K.doi:10.1063/1.2117822.
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