A bstract We identify in Einstein gravity an asymptotic spin-2 charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem. Our treatment reveals that this generates a non-local spacetime symmetry represented at null infinity by pseudo-vector fields. Moreover, we demonstrate non-linear nature of Einstein’s equations is reflected Ward identity thr...

We study numerically the fully nonlinear spherically-symmetric collapse of a selfgravitating, minimally-coupled, massless scalar field. Our numerical code is based on double-null coordinates and on free evolution of the metric functions and the scalar field. The numerical code is stable and second-order accurate. We use this code to study the late-time asymptotic behavior at fixed r (outside th...

The Kerr-Schild form provides a natural way of realizing the classical double copy that relates exact solutions in general relativity to gauge theory. In this paper, we examine asymptotic structure form. Newman-Unti gauge, find generic solution space satisfying series expansion around null infinity. news function is chiral and can not lead mass loss formula. A class asymptotically flat complex ...

A subset of the Cantor cube is null-additive if its algebraic sum with any null set null. We construct a cardinality continuum such that: all continuous images into are null-additive, it contains homeomorphic copy that not and has property $\gamma$, strong combinatorial covering property. also nontrivial $\gamma$ additive. Set-theoretic assumptions used in our constructions far milder than earl...

apping the barbed ends of actin filaments is a critical step for regulating actin-based motility in nonmuscle cells. The in vivo function of CapG, a calcium-sensitive barbed end capping protein and member of the gelsolin/villin family, has been assessed using a null Capg allele engineered into mice. Both CapG-null mice and CapG/ gelsolin double-null mice appear normal and have no gross function...

Capping the barbed ends of actin filaments is a critical step for regulating actin-based motility in nonmuscle cells. The in vivo function of CapG, a calcium-sensitive barbed end capping protein and member of the gelsolin/villin family, has been assessed using a null Capg allele engineered into mice. Both CapG-null mice and CapG/gelsolin double-null mice appear normal and have no gross function...