Antoci, Salvatore; Liebscher, Dierck-Ekkehard; Mihich, Luigi The physical meaning of the “boost-rotation symmetric” solutions within the general interpretation of Einstein’s theory of gravitation. (English) Zbl 1087.83057 Gen. Relativ. Gravitation 38, No. 1, 15-22 (2006). Summary: The answer to the question, what physical meaning should be attributed to the so-called boost-rotation symmetric exact solutions to the field equations of general relativity, is provided within the general interpretation scheme for the “theories of relativity,” based on group theoretical arguments, and set forth by Erich Kretschmann already in the year 1917. Cited in 1 ReviewCited in 2 Documents MSC: 83E05 Geometrodynamics and the holographic principle 83C15 Exact solutions to problems in general relativity and gravitational theory PDFBibTeX XMLCite \textit{S. Antoci} et al., Gen. Relativ. Gravitation 38, No. 1, 15--22 (2006; Zbl 1087.83057) Full Text: DOI arXiv References: [1] Einstein, A.: Sitzungsber. Preuss. Akad. Wiss., Phys. Math. Kl., 844 (1915) [2] Hilbert, D.: Nachr. Ges. Wiss. Göttingen, Math. Phys. Kl., 395 (1915) [3] Ricci, G., Levi-Civita, T.: Math. Ann. 54, 125 (1900) · JFM 31.0297.01 · doi:10.1007/BF01454201 [4] Kretschmann, E.: Ann. d. Phys. 48, 907, 943 (1915) [5] Kretschmann, E.: Ann. d. Phys. 53, 575 (1917) [6] Frank, Ph.: Jahrbuch Fortschr. Math. 46, 1292 (1917) [7] Einstein, A.: Ann. d. Phys. 49, 769 (1916) · JFM 46.1293.01 · doi:10.1002/andp.19163540702 [8] Einstein, A.: Ann. d. Phys. 55, 241 (1918) · JFM 46.1292.02 · doi:10.1002/andp.19183600402 [9] Bondi, H.: Rev. Mod. Phys. 29, 423 (1957) · Zbl 0079.42001 · doi:10.1103/RevModPhys.29.423 [10] Bonnor, W.B., Swaminarayan, N.S.: Zeits. f. Phys. 177, 240 (1964) · doi:10.1007/BF01375497 [11] Israel, W., Khan, K.A.: Nuovo. Cim. 33, 331 (1964) · Zbl 0119.23802 · doi:10.1007/BF02750196 [12] Bonnor, W.B.: Wiss. Zeitschr. Univ. Jena (Math-Nat. Reihe) 15, 71 (1966) [13] Bičák, J.: Proc Roy. Soc. A 302, 201 (1968) · doi:10.1098/rspa.1968.0004 [14] Bičák, J., Hoenselaers, C., Schmidt, B.G.: Proc. Roy. Soc. Lond. A 390, 397, 411(1983) [15] Bičák, J., Schmidt, B.G.: J. Math. Phys. 25, 600 (1984) · doi:10.1063/1.526161 [16] Bonnor, W.B.: Gen. Rel. Grav. 15, 535 (1983) · Zbl 0514.53027 · doi:10.1007/BF00759569 [17] Bonnor, W.B.: Gen. Rel. Grav. 20, 607 (1988) · Zbl 0641.53070 · doi:10.1007/BF00758917 [18] Bičák, J., Schmidt, B.G.: Phys. Rev. D 40, 1827 (1989) · doi:10.1103/PhysRevD.40.1827 [19] Stephani, H., Kramer, D., MacCallum, M., Hoenselaers, C., Herlt, E.: Exact solutions of Einstein’s field equations. Cambridge Monographs on Mathematical Physics, 2nd ed. Cambridge Univ. Press (2003) · Zbl 1057.83004 [20] Weyl, H.: Ann. Phys. (Leipzig) 54, 117 (1917) [21] Levi-Civita, T.: Rend. Acc. dei Lincei, 28, 3 (1919) [22] Schwarzschild, K.: Sitzungsber. Preuss. Akad. Wiss., Phys. Math. Kl., 189 (1916) [23] Hilbert, D.: Nachr. Ges. Wiss. Göttingen, Math. Phys. Kl., 53 (1917) [24] Lichnerowicz, A.: Théories relativistes de la gravitation et de l’électro-magnétisme, Masson, Paris. (1955) · Zbl 0065.20704 [25] Synge, J.L.: Proc. R. Irish Acad. 53A, 83 (1950) [26] Kruskal, M.D.: Phys. Rev. 119, 1743 (1960) · Zbl 0098.19001 · doi:10.1103/PhysRev.119.1743 [27] Szekeres, G.: Publ. Math. Debrecen 7, 285 (1960) [28] Weyl, H.: Ann. d. Phys. 59, 185 (1919) · JFM 47.0800.01 · doi:10.1002/andp.19193641006 [29] Bach, R., Weyl, H.: Math. Zeitschrift 13, 134 (1922) · JFM 48.1328.01 · doi:10.1007/BF01485284 [30] Beck, G.: Zeitschr. f. Phys. 33, 713 (1925) · JFM 51.0041.09 · doi:10.1007/BF01328358 [31] Antoci, S., Liebscher, D.-E.: Astron. Nachr. 322, 137 (2001) http://arXiv.org/abs/gr-qc/0102084 [32] Antoci, S., Liebscher, D.-E., Mihich, L.: Astron. Nachr. 324, 485 (2003) http://arxiv.org/abs/gr-qc/0107007 . This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.