Global energy conservation in nonlinear spherical characteristic evolutions

Abstract

Associated to the unique 4-parametric subgroup of translations, normal to the Bondi-Metzner-Sachs group, there exists a generator of the temporal translation asymptotic symmetry. Such a descriptor of the motion along the conformal orbit near null infinity is propagated to finite regions. This allows us to observe the global energy conservation even in extreme situations near the critical behavior of the massless scalar field collapse in spherical symmetry.

6 pages, 7 figures; updated version to appear in Physical Review D

References in corpus (2)

• A framework for large-scale relativistic simulations in the characteristic approach
• Gravitational Instability of a Kink

Cited by in corpus (4)

• Differential configurational entropy and the gravitational collapse of a kink
• Extended two-dimensional characteristic framework to study nonrotating black holes
• Fixed mesh refinement in the characteristic formulation of General Relativity
• On the Linear Regime of the Characteristic formulation of General relativity in the Minkowski and Schwarzschild's Backgrounds