TITLE:
Null Geodesics, Raychaudhuri Equation, Trapped Surfaces, and Penrose Singularity Theorem
AUTHORS:
Miguel Socolovsky
KEYWORDS:
Null Geodesics, Trapped Surfaces, Singularity Theorem
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.8 No.3,
June
29,
2022
ABSTRACT: We review the concept of congruence of null geodesics, the Raychaudhuri equation for the expansion, its harmonic oscillator version and associated “quantum” propagator, the role of the equation in the derivation of the Penrose singularity theorem, the definition of trapped surfaces, and the derivation of the theorem itself.