Work

Angle of null energy condition lines in critical spacetimes

Year: 2025
Type: article
Abstract: We identify a new critical parameter in Choptuik’s gravitational collapse: the angle at which null energy condition (NEC) saturation lines intersect at the center of the critical spacetime. These NEC lines coincide with regions of vanishing curvature, dividing spacetime into stripes of positive and negative curvature. By numerically solving Choptuik’s original system, we find the NEC angle to be α ≈ 0.64 ( ≈ 3 7 ° ) and analytically derive α = 2 arccot ( D − 1 ) for any spacetime dimension D > 3 .
Authors: Christian Ecker, Florian Ecker, Daniel Grumiller
Language: English
Open Access status: hybrid
OpenAlex ID: W4412403097
FWCI: 1.891
Cites: 30
Cited by: 4
Related to: 10