Chruściel P T, Hoque Sk J, Maliborski M, Smołka T
University of Vienna, Gravitational Physics, Boltzmanngasse, 5, A1090 Wien, Austria.
Institut de Hautes Études Scientifiques, Le Bois-Marie, 35 rte de Chartres, 91440 Bures-sur-Yvette, France.
Eur Phys J C Part Fields. 2021;81(8):696. doi: 10.1140/epjc/s10052-021-09350-y. Epub 2021 Aug 5.
We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the associated asymptotic symmetries. When the energy diverges, but a renormalised formula with well defined flux is obtained. We show that the renormalised energy in the asymptotically off-diagonal gauge coincides with the quadratisation of the generalisation of the Trautman-Bondi mass proposed in Chruściel and Ifsits (Phys Rev D 93:124075, arXiv:1603.07018 [gr-qc], 2016).
我们在邦迪规范下分析了德西特、闵可夫斯基和反德西特背景下光锥上真空线性化引力场的正则能量。我们推导了相关的渐近对称性。当能量发散时，我们得到了一个通量定义明确的重整化公式。我们表明，渐近非对角规范下的重整化能量与Chruściel和Ifsits（《物理评论D》93:124075，arXiv:1603.07018 [gr-qc]，2016）中提出的特劳特曼 - 邦迪质量推广的二次化结果一致。
