Abstract
Gravitational-wave measurements of the tidal deformability of neutron stars could reveal important information regarding their internal structure, the equation of state of high-dense nuclear matter and gravity in strong field regime. In this work, we extend the relativistic theory of the tidal deformability of neutron stars to Rastall gravity. Both the electric-type and magnetic-type quadrupole tidal Love numbers are calculated for neutron stars in the polytrope model. It is found that neutron star’s tidal Love numbers in Rastall gravity is significantly smaller than those in general relativity. Our results provide new evidence of the degeneracy between the modification of gravity and the equation of state of nuclear matter in neutron stars.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abbott, B.P., et al.: Phys. Rev. Lett. 119(16), 161101 (2017). 1710.05832
Abdelsalhin, T.: Tidal deformations of compact objects and gravitational wave emission. PhD thesis, Sapienza – Università di Roma (2019). 1905.00408
Binnington, T., Poisson, E.: Phys. Rev. D 80, 084018 (2009). 0906.1366
Cardoso, V., Franzin, E., Maselli, A., Pani, P., Raposo, G.: Phys. Rev. D 95(8), 084014 (2017). Addendum: Phys. Rev. D 95, 089901 (2017)
Clifton, T., Ferreira, P.G., Padilla, A., Skordis, C.: Phys. Rep. 513, 1 (2012). 1106.2476
Cook, G.B., Shapiro, S.L., Teukolsky, S.A.: Astrophys. J. 422, 227 (1994)
Damour, T., Nagar, A.: Phys. Rev. D 80, 084035 (2009). 0906.0096
Darabi, F., Moradpour, H., Licata, I., Heydarzade, Y., Corda, C.: Eur. Phys. J. C 78, 25 (2018). 1712.09307
De, S., Finstad, D., Lattimer, J.M., Brown, D.A., Berger, E., Biwer, C.M.: Phys. Rev. Lett. 121(9), 091102 (2018). Erratum: Phys. Rev. Lett. 121, 259902 (2018). 1804.08583
De Moraes, W.A.G., Santos, A.F.: Gen. Relativ. Gravit. 51(12), 167 (2019). 1912.06471
Flanagan, E.E., Hinderer, T.: Phys. Rev. D 77, 021502 (2008). 0709.1915
Hinderer, T.: Astrophys. J. 677, 1216 (2008). 0711.2420
Lau, S.Y., Leung, P.T., Lin, L.-M.: Phys. Rev. D 99(2), 023018 (2019)
Lazo, M.J., Paiva, J., Amaral, J.a.T.S., Frederico, G.a.S.F.: Phys. Rev. D 95, 101501 (2017)
Oliveira, A.M., Velten, H.E.S., Fabris, J.C., Casarini, L.: Phys. Rev. D 92(4), 044020 (2015)
Olmo, G.J., Rubiera-Garcia, D., Wojnar, A.: Phys. Rep. 876, 1 (2020). https://doi.org/10.1016/j.physrep.2020.07.001
Poisson, E., Will, C.M.: Gravity Newtonian, Post-Newtonian, Relativistic. Cambridge University Press, Cambridge (2014). https://doi.org/10.1017/CBO9781139507486
Raithel, C., Özel, F., Psaltis, D.: Astrophys. J. Lett. 857(2), 23 (2018). 1803.07687
Rastall, P.: Phys. Rev. D 6, 3357 (1972)
Rosi, G., Sorrentino, F., Cacciapuoti, L., Prevedelli, M., Tino, G.M.: Nature 510, 518 (2014). 1412.7954
Shabani, H., Hadi Ziaie, A.: Europhys. Lett. 129(2), 20004 (2020). 2003.02064
Silva, H.O., Holgado, A.M., Cárdenas-Avendaño, A., Yunes, N.: Phys. Rev. Lett. 126(18), 181101 (2021). 2004.01253
Visser, M.: Phys. Lett. B 782, 83 (2018). 1711.11500
Xi, P., Hu, Q., Zhuang, G-n., Li, X.-z.: Astrophys. Space Sci. 365(10), 163 (2020)
Yagi, K., Yunes, N.: Phys. Rev. D 88(2), 023009 (2013). 1303.1528
Yagi, K., Yunes, N.: Approximate universal relations for neutron stars and quark stars. Phys. Rep. 681, 1 (2017). https://doi.org/10.1016/j.physrep.2017.03.002
Yazadjiev, S.S., Doneva, D.D., Kokkotas, K.D.: Eur. Phys. J. C 78(10), 818 (2018). 1803.09534
Acknowledgements
The authors are indebted to Ping Xi for helpful discussions.
Funding
This research was supported by innovation program of Shanghai Normal University under Grant No. KF202147.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflicts of interest.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Meng, L., Liu, DJ. Tidal Love numbers of neutron stars in Rastall gravity. Astrophys Space Sci 366, 105 (2021). https://doi.org/10.1007/s10509-021-04013-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-021-04013-6