Classical black holes; General relativity equations and solutions; Gravity in dimensions other than four; Singularities in general relativity; Null energy condition
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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 ( ≈37°) and analytically derive 𝛼 =2arccot(𝐷 −1) for any spacetime dimension 𝐷 >3.
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Research Areas:
Beyond TUW-research focus: 50% Fundamental Mathematics Research: 50%
