6 papers
Motion of extended fluid bodies in the Newtonian limit of gravity
Bofeng Wu, Xiao Zhang
In the Newtonian limit of gravity, for an isolated self-gravitating system consisting of extended fluid bodies, the inter-body dynamics are studied by applying the symme…
Massless Majorana spinors in the Kerr spacetime
Tianyuan Cai, Xiao Zhang
In this paper, we show that massive Majorana spinors \eqref{1.2} do not exist if they are -dependent or -dependent in Kerr, or Kerr-(A)dS spacetimes. For massless Majorana s…
The Bondi-Sachs formalism for the Einstein scalar field equations with the zero cosmological constant
Jialue Li, Xiao Zhang
Inspired by interaction of gravitational waves and dark matters, we study the Bondi-Sachs formalism for Einstein massless scalar field with zero cosmological constant. We provide a…
Nonexistence of Majorana fermions in Kerr-Newman type spacetimes with nontrivial charge
Hequn Zhang, Xiao Zhang
We show that the Dirac equation is separated into four differential equations for time-period Majarana fermions in Kerr-Newman, Kerr-Newman-(A)dS spacetimes. Although they can not…
Nonexistence of Time-periodic Solutions of the Dirac Equation in Kerr-Newman-(A)dS Spacetime
Mengzhang Fan, Yaohua Wang, Xiao Zhang
In this paper, we study the nonexistence of nontrivial time-periodic solutions of the Dirac equation in Kerr-Newman-(A)dS spacetime. In the non-extreme Kerr-Newman-dS spacetime, we…
The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes
Yaohua Wang, Xiao Zhang
The positive energy theorem for weighted asymptotically flat spin manifolds was proved by Baldauf and Ozuch \cite{BO}, and for non-spin case by Chu and Zhu \cite{CZh}. In this pape…