Gravitational waves effects in a Lorentz-violating scenario. (English) Zbl 07894254
Summary: This paper focuses on how the production and polarization of gravitational waves are affected by spontaneous Lorentz symmetry breaking, which is driven by a self-interacting vector field. Specifically, we examine the impact of a smooth quadratic potential and a non-minimal coupling, discussing the constraints and causality features of the linearized Einstein equation. To analyze the polarization states of a plane wave, we consider a fixed vacuum expectation value (VEV) of the vector field. Remarkably, we verify that a space-like background vector field modifies the polarization plane and introduces a longitudinal degree of freedom. In order to investigate the Lorentz violation effect on the quadrupole formula, we use the modified Green function. Finally, we show that the space-like component of the background field leads to a third-order time derivative of the quadrupole moment, and the bounds for the Lorentz-breaking coefficients are estimated as well.
References:
| [1] | Kosteleckỳ, V. A.; Samuel, S., Spontaneous breaking of Lorentz symmetry in string theory, Phys. Rev. D, 39, 2, 683, 1989 |
| [2] | Kosteleckỳ, V. A.; Samuel, S., Phenomenological gravitational constraints on strings and higher-dimensional theories, Phys. Rev. Lett., 63, 3, 224, 1989 |
| [3] | Alfaro, J.; Morales-Tecotl, H. A.; Urrutia, L. F., Quantum gravity corrections to neutrino propagation, Phys. Rev. Lett., 84, 11, 2318, 2000 |
| [4] | Alfaro, J.; Morales-Tecotl, H. A.; Urrutia, L. F., Loop quantum gravity and light propagation, Phys. Rev. D, 65, 10, Article 103509 pp., 2002 |
| [5] | Carroll, S. M.; Harvey, J. A.; Kosteleckỳ, V. A.; Lane, C. D.; Okamoto, T., Noncommutative field theory and Lorentz violation, Phys. Rev. Lett., 87, 14, Article 141601 pp., 2001 |
| [6] | Araújo Filho, A.; Zare, S.; Porfírio, P.; Kříž, J.; Hassanabadi, H., Thermodynamics and evaporation of a modified Schwarzschild black hole in a non-commutative gauge theory, Phys. Lett. B, 838, Article 137744 pp., 2023 · Zbl 1519.83049 |
| [7] | Heidari, N.; Hassanabadi, H.; Araújo Filho, A. A.; Kriz, J.; Zare, S.; Porfírio, P., Gravitational signatures of a non-commutative stable black hole, Phys. Dark Universe, Article 101382 pp., 2023 |
| [8] | Hořava, P., Quantum gravity at a Lifshitz point, Phys. Rev. D, 79, 8, Article 084008 pp., 2009 |
| [9] | Cohen, A. G.; Glashow, S. L., Very special relativity, Phys. Rev. Lett., 97, 2, Article 021601 pp., 2006 · Zbl 1228.83009 |
| [10] | Araújo Filho, A. A.; Furtado, J.; Hassanabadi, H.; Reis, J., Thermal analysis of photon-like particles in rainbow gravity, Phys. Dark Universe, 42, Article 101310 pp., 2023 |
| [11] | Colladay, D.; Kosteleckỳ, V. A., Cpt violation and the standard model, Phys. Rev. D, 55, 11, 6760, 1997 |
| [12] | Jackiw, R.; Kosteleckỳ, V. A., Radiatively induced Lorentz and cpt violation in electrodynamics, Phys. Rev. Lett., 82, 18, 3572, 1999 |
| [13] | Araújo Filho, A. A.; Maluf, R., Thermodynamic properties in higher-derivative electrodynamics, Braz. J. Phys., 51, 820-830, 2021 |
| [14] | Araújo Filho, A. A.; Petrov, A. Y., Higher-derivative Lorentz-breaking dispersion relations: a thermal description, Eur. Phys. J. C, 81, 9, 843, 2021 |
| [15] | Araújo Filho, A. A., Particles in loop quantum gravity formalism: a thermodynamical description, Ann. Phys., Article 2200383 pp., 2022 · Zbl 07770800 |
| [16] | Araújo Filho, A. A.; Petrov, A. Y., Bouncing universe in a heat bath, Int. J. Mod. Phys. A, 36, 34n35, Article 2150242 pp., 2021 |
| [17] | Araújo Filho, A. A., Thermal aspects of field theories, 2022 |
| [18] | Kosteleckỳ, V. A.; Mewes, M., Lorentz and cpt violation in neutrinos, Phys. Rev. D, 69, 1, Article 016005 pp., 2004 |
| [19] | Bluhm, R.; Kosteleckỳ, V. A.; Lane, C. D., Cpt and Lorentz tests with muons, Phys. Rev. Lett., 84, 6, 1098, 2000 |
| [20] | Araújo Filho, A. A.; Hassanabadi, H.; Reis, J.; Lisboa-Santos, L., Thermodynamics of a quantum ring modified by Lorentz violation, Phys. Scr., 98, 6, Article 065943 pp., 2023 |
| [21] | Bluhm, R.; Kosteleckỳ, V. A.; Russell, N., Cpt and Lorentz tests in hydrogen and antihydrogen, Phys. Rev. Lett., 82, 11, 2254, 1999 |
| [22] | Araújo Filho, A. A., Thermodynamics of massless particles in curved spacetime, 2022, preprint |
| [23] | Li, G.-P.; Pu, J.; Jiang, Q.-Q.; Zu, X.-T., An application of Lorentz-invariance violation in black hole thermodynamics, Eur. Phys. J. C, 77, 1-10, 2017 |
| [24] | Cambiaso, M.; Lehnert, R.; Potting, R., Massive photons and Lorentz violation, Phys. Rev. D, 85, 8, Article 085023 pp., 2012 |
| [25] | Araújo Filho, A. A.; Reis, J.; Ghosh, S., Quantum gases on a torus, (Modern Physics. Modern Physics, International Journal of Geometric Methods, 2023), 2350178 · Zbl 07793974 |
| [26] | Araújo Filho, A. A.; Reis, J., How does geometry affect quantum gases?, Int. J. Mod. Phys. A, 37, 11n12, Article 2250071 pp., 2022 |
| [27] | Araújo Filho, A. A.; Reis, J.; Ghosh, S., Fermions on a torus knot, Eur. Phys. J. Plus, 137, 5, 614, 2022 |
| [28] | Kosteleckỳ, V. A.; Russell, N., Data tables for Lorentz and c p t violation, Rev. Mod. Phys., 83, 1, 11, 2011 |
| [29] | Bluhm, R.; Fung, S.-H.; Kosteleckỳ, V. A., Spontaneous Lorentz and diffeomorphism violation, massive modes, and gravity, Phys. Rev. D, 77, 6, Article 065020 pp., 2008 |
| [30] | Abbott, B. P.; Abbott, R.; Abbott, T.; Abernathy, M.; Acernese, F.; Ackley, K.; Adams, C.; Adams, T.; Addesso, P.; Adhikari, R., Observation of gravitational waves from a binary black hole merger, Phys. Rev. Lett., 116, 6, Article 061102 pp., 2016 |
| [31] | Abbott, B. P.; Abbott, R.; Abbott, T.; Abernathy, M.; Acernese, F.; Ackley, K.; Adams, C.; Adams, T.; Addesso, P.; Adhikari, R., Gw150914: the advanced ligo detectors in the era of first discoveries, Phys. Rev. Lett., 116, 13, Article 131103 pp., 2016 |
| [32] | Araújo Filho, A. A., Analysis of a regular black hole in Verlinde’s gravity, Class. Quantum Gravity, 41, 1, Article 015003 pp., 2023 · Zbl 1533.83019 |
| [33] | Araújo Filho, A. A., Implications of a Simpson-Visser solution in Verlinde’s framework, Eur. Phys. J. C, 84, 1, 73, 2024 |
| [34] | Bluhm, R.; Kosteleckỳ, V. A., Spontaneous Lorentz violation, Nambu-Goldstone modes, and gravity, Phys. Rev. D, 71, 6, Article 065008 pp., 2005 |
| [35] | Maluf, R.; Araújo Filho, A.; Cruz, W.; Almeida, C., Antisymmetric tensor propagator with spontaneous Lorentz violation, Europhys. Lett., 124, 6, Article 61001 pp., 2019 |
| [36] | Sagi, E., Propagation of gravitational waves in the generalized tensor-vector-scalar theory, Phys. Rev. D, 81, 6, Article 064031 pp., 2010 |
| [37] | Liang, D.; Xu, R.; Lu, X.; Shao, L., Polarizations of gravitational waves in the bumblebee gravity model, Phys. Rev. D, 106, 12, Article 124019 pp., 2022 |
| [38] | Kosteleckỳ, V. A., Gravity, Lorentz violation, and the standard model, Phys. Rev. D, 69, 10, Article 105009 pp., 2004 |
| [39] | Araújo Filho, A. A.; Nascimento, J. R.; Petrov, A. Y.; Porfírio, P. J., Vacuum solution within a metric-affine bumblebee gravity, Phys. Rev. D, 108, 8, Article 085010 pp., 2023 |
| [40] | Maluf, R.; Santos, V.; Cruz, W.; Almeida, C., Matter-gravity scattering in the presence of spontaneous Lorentz violation, Phys. Rev. D, 88, 2, Article 025005 pp., 2013 |
| [41] | Araújo Filho, A. A.; Hassanabadi, H.; Heidari, N.; Kriz, J.; Zare, S., Gravitational traces of bumblebee gravity in metric-affine formalism, Class. Quantum Gravity, 41, 5, Article 055003 pp., 2024 · Zbl 1535.83092 |
| [42] | Martín-Ruiz, A.; Escobar, C., Local effects of the quantum vacuum in Lorentz-violating electrodynamics, Phys. Rev. D, 95, 3, Article 036011 pp., 2017 |
| [43] | Hernaski, C., Quantization and stability of bumblebee electrodynamics, Phys. Rev. D, 90, 12, Article 124036 pp., 2014 |
| [44] | Maluf, R.; Almeida, C.; Casana, R.; Ferreira, M., Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field, Phys. Rev. D, 90, 2, Article 025007 pp., 2014 |
| [45] | Araújo Filho, A. A., Lorentz-violating scenarios in a thermal reservoir, Eur. Phys. J. Plus, 136, 4, 1-14, 2021 |
| [46] | Eling, C.; Jacobson, T.; Mattingly, D., Einstein-aether theory, (Deserfest, 2006, World Scientific), 163-179 · Zbl 1176.83014 |
| [47] | Le Tiec, A.; Novak, J., Theory of gravitational waves, (An Overview of Gravitational Waves: Theory, Sources and Detection, 2017, World Scientific), 1-41 |
| [48] | Liang, D.; Gong, Y.; Hou, S.; Liu, Y., Polarizations of gravitational waves in f (r) gravity, Phys. Rev. D, 95, 10, Article 104034 pp., 2017 |
| [49] | Zhang, P.-M.; Duval, C.; Gibbons, G.; Horvathy, P., Velocity memory effect for polarized gravitational waves, J. Cosmol. Astropart. Phys., 2018, 05, Article 030 pp., 2018 · Zbl 1536.83007 |
| [50] | Hou, S.; Gong, Y.; Liu, Y., Polarizations of gravitational waves in Horndeski theory, Eur. Phys. J. C, 78, 5, 378, 2018 |
| [51] | Mewes, M., Signals for Lorentz violation in gravitational waves, Phys. Rev. D, 99, 10, Article 104062 pp., 2019 |
| [52] | Kosteleckỳ, V. A.; Mewes, M., Testing local Lorentz invariance with gravitational waves, Phys. Lett. B, 757, 510-514, 2016 · Zbl 1360.83017 |
| [53] | Kosteleckỳ, V. A.; Mewes, M., Lorentz and diffeomorphism violations in linearized gravity, Phys. Lett. B, 779, 136-142, 2018 · Zbl 1383.83012 |
| [54] | Will, C. M., Bounding the mass of the graviton using gravitational-wave observations of inspiralling compact binaries, Phys. Rev. D, 57, 4, 2061, 1998 |
| [55] | Aharmim, B.; Ahmed, S.; Anthony, A.; Barros, N.; Beier, E.; Bellerive, A.; Beltran, B.; Bergevin, M.; Biller, S.; Blucher, E., Tests of Lorentz invariance at the Sudbury neutrino observatory, Phys. Rev. D, 98, 11, Article 112013 pp., 2018 |
| [56] | Barabash, A.; Belli, P.; Bernabei, R.; Cappella, F.; Caracciolo, V.; Cerulli, R.; Chernyak, D.; Danevich, F.; d’Angelo, S.; Incicchitti, A., Final results of the aurora experiment to study 2 β decay of cd 116 with enriched cd 116 wo 4 crystal scintillators, Phys. Rev. D, 98, 9, Article 092007 pp., 2018 |
| [57] | Adey, D.; An, F.; Balantekin, A.; Band, H.; Bishai, M.; Blyth, S.; Cao, D.; Cao, G.; Cao, J.; Chang, J., Search for a time-varying electron antineutrino signal at Daya Bay, Phys. Rev. D, 98, 9, Article 092013 pp., 2018 |
| [58] | Babusci, D.; Balwierz-Pytko, I.; Bencivenni, G.; Bloise, C.; Bossi, F.; Branchini, P.; Budano, A.; Balkeståhl, L. C.; Capon, G.; Ceradini, F., Test of cpt and Lorentz symmetry in entangled neutral kaons with the kloe experiment, Phys. Lett. B, 730, 89-94, 2014 |
| [59] | Di Domenico, A., Cpt symmetry and quantum mechanics tests in the neutral kaon system at kloe, Found. Phys., 40, 7, 852-866, 2010 · Zbl 1197.81191 |
| [60] | Abazov, V., V.M. Abazov et al. (D0 Collaboration), Phys. Rev. Lett. 108, (2012) 151804, Phys. Rev. Lett., 108, Article 151804 pp., 2012 |
| [61] | Sytema, A., A. Sytema et al., Phys. Rev. C 94 (2016) 025503, Phys. Rev. C, 94, Article 025503 pp., 2016 |
| [62] | Müller, S., S.E. Müller et al., Phys. Rev. D 88 (2013) 071901(R), Phys. Rev. D, 88, Article 071901 pp., 2013 |
| [63] | Pruttivarasin, T.; Ramm, M.; Porsev, S.; Tupitsyn, I.; Safronova, M.; Hohensee, M.; Häffner, H., Michelson-Morley analogue for electrons using trapped ions to test Lorentz symmetry, Nature, 517, 7536, 592, 2015 |
| [64] | Botermann, B.; Bing, D.; Geppert, C.; Gwinner, G.; Hänsch, T. W.; Huber, G.; Karpuk, S.; Krieger, A.; Kühl, T.; Nörtershäuser, W., Test of time dilation using stored li+ ions as clocks at relativistic speed, Phys. Rev. Lett., 113, 12, Article 120405 pp., 2014 |
| [65] | Hohensee, M.; Leefer, N.; Budker, D.; Harabati, C.; Dzuba, V.; Flambaum, V., Limits on violations of Lorentz symmetry and the Einstein equivalence principle using radio-frequency spectroscopy of atomic dysprosium, Phys. Rev. Lett., 111, 5, Article 050401 pp., 2013 |
| [66] | Kislat, F., Constraints on Lorentz invariance violation from optical polarimetry of astrophysical objects, Symmetry, 10, 11, 596, 2018 |
| [67] | Parker, S. R.; Mewes, M.; Baynes, F. N.; Tobar, M. E., Bounds on higher-order Lorentz-violating photon sector coefficients from an asymmetric optical ring resonator experiment, Phys. Lett. A, 379, 42, 2681-2684, 2015 |
| [68] | Shao, C.-G.; Chen, Y.-F.; Tan, Y.-J.; Yang, S.-Q.; Luo, J.; Tobar, M. E.; Long, J.; Weisman, E.; Kostelecky, A., Combined search for a Lorentz-violating force in short-range gravity varying as the inverse sixth power of distance, 2018, preprint |
| [69] | Abbott, B. P.; Abbott, R.; Abbott, T.; Acernese, F.; Ackley, K.; Adams, C.; Adams, T.; Addesso, P.; Adhikari, R.; Adya, V., Gw170817: observation of gravitational waves from a binary neutron star inspiral, Phys. Rev. Lett., 119, 16, Article 161101 pp., 2017 |
| [70] | Shao, C.-G.; Chen, Y.-F.; Sun, R.; Cao, L.-S.; Zhou, M.-K.; Hu, Z.-K.; Yu, C.; Müller, H., Limits on Lorentz violation in gravity from worldwide superconducting gravimeters, Phys. Rev. D, 97, 2, Article 024019 pp., 2018 |
| [71] | Casana, R.; Cavalcante, A.; Poulis, F.; Santos, E., Exact Schwarzschild-like solution in a bumblebee gravity model, Phys. Rev. D, 97, 10, Article 104001 pp., 2018 |
| [72] | Bourgoin, A.; Le Poncin-Lafitte, C.; Hees, A.; Bouquillon, S.; Francou, G.; Angonin, M.-C., Lorentz symmetry violations from matter-gravity couplings with lunar laser ranging, Phys. Rev. Lett., 119, 20, Article 201102 pp., 2017 |
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