\begin{document}$D\rightarrow4$\end{document} limit of Einstein-Gauss-Bonnet gravity has been proposed. It is a special scalar-tensor theory that belongs to the family of Horndeski gravity. It also has well defined \begin{document}$D\rightarrow3$\end{document} and \begin{document}$D\rightarrow2$\end{document} limits. In this work, we examine this theory in three and four dimensions in the Bondi-Sachs framework. In both three and four dimensions, we find that there is no news function associated with the scalar field, which means that there is no scalar propagating degree of freedom in the theory. In four dimensions, the mass-loss formula is not affected by the Gauss-Bonnet term. This is consistent with the fact that there is no scalar radiation. However, the effects of the Gauss-Bonnet term are quite significant in the sense that they arise just one order after the integration constants and also arise in the quadrupole of the gravitational source."> Asymptotic structure of Einstein-Gauss-Bonnet theory in lower dimensions -
  • [1]

    D. Lovelock, J. Math. Phys.12, 498-501 (1971)

  • [2]

    D.G. Boulware and S. Deser, Phys. Rev. Lett.55, 2656 (1985)

  • [3]

    D.L. Wiltshire, Phys. Lett. B169, 36 (1986)

  • [4]

    R.G. Cai and K.S. Soh, Phys. Rev. D59, 044013 (1999), arXiv:gr-qc/9808067 [gr-qc

  • [5]

    R.G. Cai, Phys. Rev. D65, 084014 (2002), arXiv:hep-th/0109133 [hep-th

  • [6]

    G.W. Horndeski, Int. J. Theor. Phys.10, 363-384 (1974)

  • [7]

    C. Deffayet, S. Deser, and G. Esposito-Farese, Phys. Rev. D80, 064015 (2009), arXiv:0906.1967 [gr-qc

  • [8]

    K. Van Acoleyen and J. Van Doorsselaere, Phys. Rev. D83, 084025 (2011), arXiv:1102.0487 [gr-qc

  • [9]

    C. Deffayet, X. Gao, D. A. Steeret al., Phys. Rev. D84, 064039 (2011), arXiv:1103.3260[hep-th

  • [10]

    D. Glavan and C. Lin, Phys. Rev. Lett.124(8), 081301 (2020), arXiv:1905.03601 [gr-qc

  • [11]

    C. Lin and Z. Lalak, arXiv:1911.12026 [gr-qc]

  • [12]

    R. Konoplya and A. Zinhailo, arXiv:2003.01188 [gr-qc]

  • [13]

    M. Guo and P.C. Li, Eur. Phys. J. C80, 588 (2020), arXiv:2003.02523 [gr-qc

  • [14]

    P.G.S. Fernandes, Phys. Lett. B805, 135468 (2020), arXiv:2003.05491 [gr-qc

  • [15]

    R.A. Konoplya and A. Zhidenko, Phys. Rev. D101, 084038 (2020), arXiv:2003.07788 [gr-qc

  • [16]

    S.W. Wei and Y.X. Liu, arXiv:2003.07769 [gr-qc]

  • [17]

    A. Casalino, A. Colleaux, M. Rinaldiet al., arXiv: 2003.07068 [gr-qc]

  • [18]

    R. Kumar and S. G. Ghosh, JCAP20, 053 (2020), arXiv:2003.08927 [gr-qc

  • [19]

    K. Hegde, A. N. Kumara, C.L.A. Rizwanet al., arXiv: 2003.08778 [gr-qc]

  • [20]

    D.D. Doneva and S.S. Yazadjiev, arXiv:2003.10284 [gr-qc]

  • [21]

    S.G. Ghosh and S.D. Maharaj, Phys. Dark Univ.30, 100687 (2020), arXiv:2003.09841 [gr-qc

  • [22]

    C.-Y. Zhang, P.-C. Li, and M. Guo, arXiv:2003.13068 [hep-th]

  • [23]

    S. A. Hosseini Mansoori, arXiv:2003.13382 [gr-qc]

  • [24]

    S.-W. Wei and Y.-X. Liu, Phys. Rev. D101, 104081 (2020), arXiv:2003.14275 [gr-qc

  • [25]

    M. Churilova, arXiv:2004.00513 [gr-qc]

  • [26]

    S. U. Islam, R. Kumar, and S. G. Ghosh, arXiv:2004.01038 [gr-qc]

  • [27]

    A. K. Mishra, arXiv:2004.01243 [gr-qc]

  • [28]

    S.-L. Li, P. Wu, and H. Yu, arXiv:2004.02080 [gr-qc]

  • [29]

    M. Heydari-Fard, M. Heydari-Fard, and H. Sepangi, arXiv:2004.02140 [gr-qc]

  • [30]

    R.A. Konoplya and A.F. Zinhailo, arXiv:2004.02248 [gr-qc]

  • [31]

    R. Kumar and S.G. Ghosh, arXiv:2003.08927 [gr-qc]

  • [32]

    S.-J. Yang, J.-J. Wan, J. Chenet al., arXiv:2004.07934 [gr-qc]

  • [33]

    P.G. Fernandes, P. Carrilho, T. Cliftonet al., Phys. Rev. D102, 024025 (2020), arXiv:2004.08362 [gr-qc

  • [34]

    F.-W. Shu, arXiv:2004.09339 [gr-qc]

  • [35]

    A. Casalino and L. Sebastiani, arXiv:2004.10229 [gr-qc]

  • [36]

    X. Zeng, H. Zhang, and H. Zhang, arXiv:2004.12074 [gr-qc]

  • [37]

    X. Ge and S. Sin, Eur. Phys. J. C80, 595 (2020), arXiv:2004.12191 [hep-th

  • [38]

    R. Kumar, S. U. Islam, and S. G. Ghosh, arXiv:2004.12970 [gr-qc]

  • [39]

    R. A. Hennigar, D. Kubiznak, R. B. Mannet al., arXiv:2004.12995 [gr-qc]

  • [40]

    J. Arrechea, A. Delhom, and A. Jiménez-Cano, arXiv:2004.12998 [gr-qc]

  • [41]

    M. Gurses, T. C. Sisman, and B. Tekin, Eur. Phys. J. C80, 647 (2020), arXiv:2004.03390 [gr-qc

  • [42]

    H. Lü and Y. Pang,arXiv: 2003.11552 [gr-qc]

  • [43]

    R.G. Cai, L.M. Cao, and N. Ohta, JHEP04, 082 (2010), arXiv:0911.4379 [hep-th

  • [44]

    R.G. Cai, Phys. Lett. B733, 183 (2014), arXiv:1405.1246 [hep-th

  • [45]

    T. Kobayashi,arXiv: 2003.12771 [gr-qc]

  • [46]

    R.A. Hennigar, D. Kubiznak, R.B. Mannet al., JHEP07, 027 (2020), arXiv:2004.09472 [gr-qc

  • [47]

    R.B. Mann and S.F. Ross, Class. Quant. Grav.10, 1405 (1993), arXiv:gr-qc/9208004

  • [48]

    S. Nojiri and S.D. Odintsov, EPL130, 10004 (2020), arXiv:2004.01404 [hep-th

  • [49]

    W.-Y. Ai,arXiv: 2004.02858 [gr-qc]

  • [50]

    H. Bondi, M.G. J. van der Burg, and A.W. K. Metzner, Proc. Roy. Soc. Lond. A269, 21-52 (1962)

  • [51]

    R.K. Sachs, Proc. Roy. Soc. Lond. A270, 103-126 (1962)

  • [52]

    G. Barnich and G. Compère, Class. Quant. Grav.24, F15-F23 (2007), arXiv:gr-qc/0610130

  • [53]

    G. Barnich and C. Troessaert, JHEP05, 062 (2010), arXiv:1001.1541 [hep-th

  • [54]

    G. Barnich, P.-H. Lambert, and P. Mao, Class. Quant. Grav.32, 245001 (2015), arXiv:1503.00856 [gr-qc

  • [55]

    H. Lü, P. Mao, and J.-B. Wu, JHEP11, 005 (2019), arXiv:1909.00970 [hep-th

  • [56]

    Y.Z. Li, H. Lü, and H.Y. Zhang, Eur. Phys. J. C79, 592 (2019), arXiv:1812.05123 [hep-th

  • [57]

    E. Conde and P. Mao, JHEP05, 060 (2017), arXiv:1612.08294 [hep-th

  • [58]

    A.I. Janis and E. T. Newman, J. Math. Phys.6, 902-914 (1965)

  • [59]

    J. Bonifacio, K. Hinterbichler, and L.A. Johnson, Phys. Rev. D102, 024029 (2020), arXiv:2004.10716 [hep-th

  • [60]

    A. Bagchi, S. Detournay, R. Fareghbalet al., Phys. Rev. Lett.110, 141302 (2013), arXiv:1208.4372 [hep-th

  • [61]

    A. Strominger,arXiv: 1703.05448 [hep-th]

  • [62]

    J. Frauendiener, Class. Quant. Grav.9, 1639-1641 (1992)

Baidu
map