7 papers
Peeling property for the Einstein scalar field equations with the nonzero cosmological constant
Jialue Li, Xiao Zhang
Inspired by interaction of gravitational waves, dark matters and dark energy, we study the Einstein scalar field equations with the nonzero cosmological constant for the Bondi-Sach…
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 sp…
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…
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…
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…
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…