RECORD
Dirty blackholes: Thermodynamics and horizon structure
High Energy Physics - Theory · Submitted 20 Mar 1992
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This paper will argue that this suppression is generic.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
Considerable interest has recently been expressed in (static spherically symmetric) blackholes in interaction with various classical matter fields (such as electromagnetic fields, dilaton fields, axion fields, Abelian Higgs fields, non--Abelian gauge fields, {\sl etc}). A common feature of these investigations that has not previously been remarked upon is that the Hawking temperature of such systems appears to be suppressed relative to that of a vacuum blackhole of equal horizon area. That is: $k T_H \leq \hbar/(4\pi r_H) \equiv \hbar/\sqrt{4\pi A_H}$. This paper will argue that this suppression is generic. Specifically, it will be shown that \[ k T_H = {\hbar\over4\pi r_H} \; e^{-\phi(r_H)} \; \left( 1 - 8\pi G \; \rho_H \; r_H^2 \right). \] Here $\phi(r_H)$ is an integral quantity, depending on the distribution of matter, that is guaranteed to be positive if the Weak Energy Condition is satisfied. Several examples of this behaviour will be discussed. Generalizations of this behaviour to non--symmetric non--static blackholes are conjectured.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Considerable interest has recently been expressed in (static spherically symmetric) blackholes in interaction with various classical matter fields (such as electromagnetic fields, dilaton fields, axion fields, Abelian Higgs fields, non--Abelian gauge fields, {\sl etc}). | background 1.00 | 0.03 | 0.02 | asserted 0.97 |
| s1 | A common feature of these investigations that has not previously been remarked upon is that the Hawking temperature of such systems appears to be suppressed relative to that of a vacuum blackhole of equal horizon area. | gap 0.88 | 0.10 | 0.15 | asserted 0.69 |
| s2 | That is: $k T_H \leq \hbar/(4\pi r_H) \equiv \hbar/\sqrt{4\pi A_H}$. | result 0.62 | 0.14 | 0.09 | asserted 0.99 |
| s3 | This paper will argue that this suppression is generic. | contribution 0.67 | 0.39 | 0.71 | asserted 0.67 |
| s4 | Specifically, it will be shown that \[ k T_H = {\hbar\over4\pi r_H} \; e^{-\phi(r_H)} \; \left( 1 - 8\pi G \; \rho_H \; r_H^2 \right). | result 0.97 | 0.85 | 0.53 | asserted 1.00 |
| s5 | \] Here $\phi(r_H)$ is an integral quantity, depending on the distribution of matter, that is guaranteed to be positive if the Weak Energy Condition is satisfied. | interpretation 0.48 | 0.48 | 0.06 | asserted 1.00 |
| s6 | Several examples of this behaviour will be discussed. | contribution 0.90 | 0.54 | 0.03 | asserted 0.73 |
| s7 | Generalizations of this behaviour to non--symmetric non--static blackholes are conjectured. | future work 0.92 | 0.16 | 0.05 | speculative 0.99 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
Considerable interest has recently been expressed in (static spherically symmetric) blackholes in interaction with various classical matter fields (such as electromagnetic fields, dilaton fields, axion fields, Abelian Higgs fields, non--Abelian gauge fields, {\sl etc}). A common feature of these investigations that has not previously been remarked upon is that the Hawking temperature of such systems appears to be suppressed relative to that of a vacuum blackhole of equal horizon area. That is: $k T_H \leq \hbar/(4\pi r_H) \equiv \hbar/\sqrt{4\pi A_H}$. This paper will argue that this suppression is generic. Specifically, it will be shown that \[ k T_H = {\hbar\over4\pi r_H} \; e^{-\phi(r_H)} \; \left( 1 - 8\pi G \; \rho_H \; r_H^2 \right). \] Here $\phi(r_H)$ is an integral quantity, depending on the distribution of matter, that is guaranteed to be positive if the Weak Energy Condition is satisfied. Several examples of this behaviour will be discussed. Generalizations of this behaviour to non--symmetric non--static blackholes are conjectured.
Human review
References
How the literature uses it
41 arXiv papers cite this in 53 sentences
Papers citing it · 38 sentences without a confident label
Uses its method or tool 1 paper
-
Keeping in mind that we are still working in curvature coordinates, the surface gravity $κ_H$ reduces to [ref]
Charged black-bounce spacetimes · Horizons and surface gravity · 0.82
Cites it as background 14 papers
-
Perturbations, quasinormal modes, radiation and other effects around black holes immersed in astrophysical environment have been actively studied in the literature (see for instance [ref] and references therein).
Black holes in galactic centers: quasinormal ringing, grey-body factors and Unruh temperature · Introduction · 1.00
-
DBHs were introduced as practical toy models to investigate the impact of a local environment on black hole effects [ref] .
Regge pole description of scattering by dirty black holes · Introduction · 0.94
-
We define the latter to be BH geometries surrounded by matter of possible different nature, so that they are not exactly described by the Schwarzschild geometry [ref] .
Can environmental effects spoil precision gravitational-wave astrophysics? · Purpose of this work and assumptions: how small is small? · 0.80
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.