Coalescence of Primal Gravity Waves to Make Cosmological Mass Without Matter

Summary

Abstract

We propose primal-chaos black holes (PCBHs) as candidates for the missing mass. Beginning with a discussion of the mystery of the missing mass, in its various formulations, we motivate PCBHs as “dark matter.” Envisioning black hole production from colliding gravity waves, we develop a model of time symmetric, axially symmetric gravity waves by making use of the Brill methodology. Through numerical spectral-element techniques, the geometry of space is determined. We discuss trapped surfaces as the signatures of impending collapse to a black hole, and are thereby able to identify, through numerical relaxation, which geometries will undergo gravitational collapse. We are thus able to determine the critical wave amplitude at which black hole production from imploding gravity waves begins. We conclude with a brief discussion of observational limits.

Introduction

“I just can't understand it. All the young men I know are retiring.” So exclaimed Mrs. Niels Bohr in a post-war visit to Princeton on seeing Paul Dirac look from floor to ceiling and back again to floor in a desperate effort to answer her question, “Who is there now at Cambridge? Is Robert Frisch still there?”

“Frisch is retiring. I cannot remember who else is there, except me.”

Any thought of Brill retiring is foreign to anyone who sees him in action, as vigorous now as he was in his Princeton undergraduate (A.B. 1954) and graduate (Ph. D. 1959) days.