Evaluating Possibility of Registering Scattered Gravitational Radiation on Wormholes

Authors: Kirillov A.A., Krichevskiy D.P. Published: 08.08.2020
Published in issue: #4(91)/2020  
DOI: 10.18698/1812-3368-2020-4-89-102

Category: Physics | Chapter: Theoretical Physics  
Keywords: dark matter, gravitational waves, wormholes, registration, scattering

Possibility of experimental registration of gravitational radiation scattered on wormholes was evaluated. Scattered radiation registration could become the experimental evidence of the wormhole gas theory explaining the dark matter nature. The simplest model of the traversable static spherically symmetric wormhole was used, which is the limiting case for the Bronnikov --- Ellis wormhole. Equations for gravitational wave against the background of non-empty curved space--time were obtained in the gauge, where the trace of a gravitational wave is not equal to zero. It is shown that equation on the trace is reduced to the Klein --- Gordon --- Fock equation. Explicit expressions were obtained for the gravitational wave trace scattering cross section on a wormhole. It was assumed that the gravitational wave amplitude order was equal to its trace order, numerical simulation was carried out, and scattered gravitational radiation intensity and amplitude from wormholes on Earth were estimated. In the multiverse case, when the wormhole throat was leading to another universe, conclusion was made that it was currently impossible to register radiation scattered by wormholes taking into account the LIGO/VIRGO detector sensitivity


[1] Carr B., ed. Universe or multiverse. Cambridge Univ. Press, 2009.

[2] Ehlers J. Editorial note to: F. Zwicky. The redshift of extragalactic nebulae. Gen. Relativ. Gravit., 2009, vol. 41, no. 1, pp. 203--206. DOI: https://doi.org/10.1007/s10714-008-0706-5

[3] Kirillov A.A., Savelova E.P. Dark matter from a gas of wormholes. Phys. Lett. B, 2008, vol. 660, iss. 3, pp. 93--99. DOI: https://doi.org/10.1016/j.physletb.2007.12.034

[4] Bisnovatyy-Kogan G.S. Relyativistskaya astrofizika i fizicheskaya kosmologiya [Relativistic astrophysics and physical cosmology]. Moscow, Krasand Publ., 2016.

[5] Kirillov A.A., Savelova E.P., Shamshutdinova G.D. On the topological bias of discrete sources in the gas of wormholes. JETP Lett., 2010, vol. 90, no. 9, pp. 599--603. DOI: https://doi.org/10.1134/S0021364009210024

[6] Kirillov A.A., Savelova E.P. On scattering of electromagnetic waves by a wormhole. Phys. Lett. B, 2012, vol. 710, iss. 4-5, pp. 516--518. DOI: https://doi.org/10.1016/j.physletb.2012.03.051

[7] Kirillov A.A., Savelova E.P. Effects of scattering of radiation on wormholes. Universe, 2018, vol. 4, iss. 2, art. 35. DOI: https://doi.org/10.3390/universe4020035

[8] Kirillov A.A., Savelova E.P. Density perturbations in a gas of wormholes. MNRAS, 2011, vol. 412, iss. 3, pp. 1710--1720. DOI: https://doi.org/10.1111/j.1365-2966.2010.18007.x

[9] Abbott B.P. GW170817: observation of gravitational waves from a binary neutron star inspiral. Phys. Rev. Lett., 2017, vol. 119, iss. 16, art. 161101. DOI: https://doi.org/10.1103/PhysRevLett.119.161101

[10] Kirillov A.A., Savelova E.P. Cosmological wormholes. Int. J. Mod. Phys. D, 2016, vol. 25, no. 6, art. 1650075. DOI: https://doi.org/10.1142/S0218271816500759

[11] Thorne K.S. Multipole expansions of gravitational radiation. Rev. Mod. Phys., 1980, vol. 52, iss. 2, pp. 299--339. DOI: https://doi.org/10.1103/RevModPhys.52.299

[12] Newman E., Penrose R. An approach to gravitational radiation by a method of spin coefficients. J. Math. Phys., 1962, vol. 3, iss. 3, pp. 566--578. DOI: https://doi.org/10.1063/1.1724257

[13] Torres del Castillo G.F., Cortes Cuautli L.C. Scattering of a weak gravitational wave by a sphere. Revista Mexicana de Fisica, 1996, vol. 42, no. 4, pp. 550--560.

[14] Clement G. Scattering of Klein --- Gordon and Maxwell waves by an Ellis geometry. Int. J. Theor. Phys., 1984, vol. 23, no. 4, pp. 335--350. DOI: https://doi.org/10.1007/BF02114513

[15] Bichak I., Rudenko V.N. Gravitatsionnye volny v OTO i problema ikh obnaruzheniya [Gravitational waves in GR and their detection problem]. Moscow, Lomonosov MSU Publ., 1987.

[16] Abbott B.P., Abbott R., Abbott T.D., et al. Observation of gravitational waves from a binary black hole merger. Phys. Rev. Lett., 2016, vol. 116, iss. 6, art. 061102. DOI: https://doi.org/10.1103/PhysRevLett.116.061102

[17] Aasi J., Abadie J., Abbott B., et al. Enhanced sensitivity of the LIGO gravitational wave detector by using squeezed states of light. Nature Photon., 2013, vol. 7, no. 8, pp. 613--619. DOI: https://doi.org/10.1038/nphoton.2013.177