Trace anomaly and Hawking effect in generic 2D dilaton gravity theories

Mariano Cadoni

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Trace anomaly and Hawking effect in generic 2D dilaton gravity theories

Mariano Cadoni

General Relativity and Quantum Cosmology · Submitted 9 Oct 1995

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim A general and simple formula relating the magnitude of the Hawking effect to the dilaton potential evaluated on the horizon is derived.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.17 · mentions code or data availability 0.02.

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Black hole solutions in the context of a generic matter-coupled two-dimensional dilaton gravity theory are discussed both at the classical and semiclassical level. Starting from general assumptions, a criterion for the existence of black holes is given. The relationship between conformal anomaly and Hawking radiation is extended to a broad class of two-dimensional dilaton gravity models. A general and simple formula relating the magnitude of the Hawking effect to the dilaton potential evaluated on the horizon is derived.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Black hole solutions in the context of a generic matter-coupled two-dimensional dilaton gravity theory are discussed both at the classical and semiclassical level.	contribution 0.65	0.70	0.07	asserted 0.92
s1	Starting from general assumptions, a criterion for the existence of black holes is given.	contribution 0.58	0.87	0.07	asserted 1.00
s2	The relationship between conformal anomaly and Hawking radiation is extended to a broad class of two-dimensional dilaton gravity models.	contribution 0.73	0.86	0.28	asserted 1.00
s3	A general and simple formula relating the magnitude of the Hawking effect to the dilaton potential evaluated on the horizon is derived.	result 0.94	0.95	0.61	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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arXiv listing abstract v1

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

Black hole solutions in the context of a generic matter-coupled two-dimensional dilaton gravity theory are discussed both at the classical and semiclassical level. Starting from general assumptions, a criterion for the existence of black holes is given. The relationship between conformal anomaly and Hawking radiation is extended to a broad class of two-dimensional dilaton gravity models. A general and simple formula relating the magnitude of the Hawking effect to the dilaton potential evaluated on the horizon is derived.

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7 arXiv papers cite this in 9 sentences

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Other closely related approaches for scalar fields and 2-dimensional theories include [ref]

Entropy and Temperature From Black-Hole/Near-Horizon-CFT Duality · Effective Action and Hawking Temperature · 0.90
For CGHS gravity, the relation between dilaton profiles and the ADM black hole mass is discussed in e.g. [ref] .

Entanglement between two evaporating black holes · ADM mass formula in Flat CGHS gravity · 0.91
Since Hawking's original analysis of the density of quantum states in terms of Bogolyubov coefficients, analysis via effective actions and their associated energy momentum tensors of the semiclassical matter fields has been explored in various settings for arriving at $T_H$ [ref] .

Near-Extremal Kerr AdS2xS2 Solution and Black-Hole/Near-Horizion-CFT Duality · Black Hole Temperature and Effective Action · 0.98

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