Black holes and quasiblack holes: Some history and remarks

TL;DR

This paper reviews the history and properties of black holes and introduces quasiblack holes, highlighting their similarities, differences, and unique features as objects on the verge of becoming black holes.

Contribution

It provides a comprehensive comparison between black holes and the newly conceptualized quasiblack holes, including their properties, mass, and entropy.

Findings

Quasiblack holes have infinite redshift regions and regular curvature invariants.

Inner and outer regions of quasiblack holes become mutually impenetrable.

External spacetime of quasiblack holes is indistinguishable from extremal black holes.

Abstract

A brief reference to the two Schwarzschild solutions and what Petrov had to say about them is given. Comments on how the Schwarzschild vacuum solution describes a black hole are also provided. Then we compare the properties, differences and similarities between black holes and quasiblack holes. Black holes are well known. Quasiblack hole is a new concept. A quasiblack hole, either nonextremal or extremal, can be broadly defined as the limiting configuration of a body when its boundary approaches the body's own gravitational radius (the quasihorizon). They are objects that are on the verge of being black holes but actually are distinct from them in many ways. We display some of their properties: there are infinite redshift whole regions; the curvature invariants remain perfectly regular everywhere, in the quasiblack hole limit; a free-falling observer finds in his own frame infinitely large tidal forces in the whole inner region, showing some form of degeneracy; outer and inner regions become mutually impenetrable and disjoint, although, in contrast to the usual black holes, this separation is of a dynamical nature, rather than purely causal; for external far away observers the spacetime is virtually indistinguishable from that of extremal black holes. Other important properties, such as the mass formula, and the entropy, are also discussed and compared to the corresponding properties of black holes.