Novel Mechanism for Production of Planck Relics in Third Order Effective Field Theory

We present a novel mechanism for the formation of Planck-scale black hole remnants, or Planck relics. We use the third-order effective field theory corrections to the Schwarzschild geometry and Hawking temperature obtained in the literature to construct a modified evaporation law that departs significantly from Hawking's classical prediction at small masses. At a critical mass $M_{crit}$, the evaporation process comes to a halt: for $c_6 > 0$ the Hawking temperature remains finite while the leading-order mass-loss rate vanishes, whereas for $c_6 < 0$ the Hawking temperature itself drops to zero. In both cases the black hole mass approaches $M_{crit}$ only asymptotically, so that the evaporation time diverges and the objects become stable remnants. The corrected heat capacity exhibits qualitative departures from Hawking's result near the Planckian regime, with a sign change for $c_6 < 0$ and a shifted extremum for $c_6 > 0$. Our results show that cubic curvature corrections in effective field theory naturally give rise to black hole remnants without invoking ad hoc modifications to Hawking radiation.

Publication Details

Journal
ArXiv.org
Published
2025-06-18
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Novel Mechanism for Production of Planck Relics in Third Order Effective Field Theory

ArXiv.org
Cosmology and Gravitation Theories
article

Novel Mechanism for Production of Planck Relics in Third Order Effective Field Theory

article en

Abstract

We present a novel mechanism for the formation of Planck-scale black hole remnants, or Planck relics. We use the third-order effective field theory corrections to the Schwarzschild geometry and Hawking temperature obtained in the literature to construct a modified evaporation law that departs significantly from Hawking's classical prediction at small masses. At a critical mass $M_{crit}$, the evaporation process comes to a halt: for $c_6 > 0$ the Hawking temperature remains finite while the leading-order mass-loss rate vanishes, whereas for $c_6 < 0$ the Hawking temperature itself drops to zero. In both cases the black hole mass approaches $M_{crit}$ only asymptotically, so that the evaporation time diverges and the objects become stable remnants. The corrected heat capacity exhibits qualitative departures from Hawking's result near the Planckian regime, with a sign change for $c_6 < 0$ and a shifted extremum for $c_6 > 0$. Our results show that cubic curvature corrections in effective field theory naturally give rise to black hole remnants without invoking ad hoc modifications to Hawking radiation.

ArXiv.org
Openalex Percentile: Top 56%
Cosmology and Gravitation Theories
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.