Reduction of Partially Self-Similar Space-Times to Self-Similar Ones in General Relativity

Hawking–Bekenstein entropy formula seems to tell us that no quantum degrees of freedom can reside in the interior of a black hole. We suggest that this is a consequence of the fact that the volume of any interior sphere of finite surface area simply vanishes. Obviously, this is not the case in general relativity. However, we show that such a phenomenon does occur in various gravitational theories which admit a spontaneously induced general relativity. In such theories, due to a phase transition (one-parameter family degenerates) which takes place precisely at the would-have-been horizon, the recovered exterior Schwarzschild solution connects, by means of a self-similar transition profile, with a novel "hollow" interior exhibiting a vanishing spatial volume and a locally varying Newton constant. This constitutes the so-called "hollowgraphy" driven holography.

Download Full-text

Universal interferometric signatures of a black hole’s photon ring

Science Advances ◽

10.1126/sciadv.aaz1310 ◽

2020 ◽

Vol 6 (12) ◽

pp. eaaz1310 ◽

Cited By ~ 16

Author(s):

Michael D. Johnson ◽

Alexandru Lupsasca ◽

Andrew Strominger ◽

George N. Wong ◽

Shahar Hadar ◽

...

Keyword(s):

General Relativity ◽

Black Hole ◽

Event Horizon ◽

Infinite Sequence ◽

High Order ◽

Black Hole Mass ◽

Tests Of General Relativity ◽

Supermassive Black Hole ◽

The Galaxy ◽

Self Similar

The Event Horizon Telescope image of the supermassive black hole in the galaxy M87 is dominated by a bright, unresolved ring. General relativity predicts that embedded within this image lies a thin “photon ring,” which is composed of an infinite sequence of self-similar subrings that are indexed by the number of photon orbits around the black hole. The subrings approach the edge of the black hole “shadow,” becoming exponentially narrower but weaker with increasing orbit number, with seemingly negligible contributions from high-order subrings. Here, we show that these subrings produce strong and universal signatures on long interferometric baselines. These signatures offer the possibility of precise measurements of black hole mass and spin, as well as tests of general relativity, using only a sparse interferometric array.

Download Full-text

Disappearance of Black Hole Criticality in Semiclassical General Relativity

Modern Physics Letters A ◽

10.1142/s0217732397000741 ◽

1997 ◽

Vol 12 (10) ◽

pp. 709-718 ◽

Cited By ~ 28

Author(s):

Takeshi Chiba ◽

Masaru Siino

Keyword(s):

General Relativity ◽

Black Hole ◽

Scalar Field ◽

Critical Phenomena ◽

Equations Of Motion ◽

Quantum Effects ◽

Hole Formation ◽

Trace Anomaly ◽

Self Similar ◽

Similar Solutions

We investigate the quantum effects on the so-called critical phenomena in black hole formation. Quantum effects of a scalar field are treated semiclassically via a trace anomaly method. It is found that the demand of regularity at the origin implies the disappearance of the echo. It is also found that semiclassical equations of motion do not admit continuously self-similar solutions. The quantum effects would change the critical solution from a discretely self-similar one to a solution without critical phenomena.

Download Full-text