On 4D-Hawing Radiation from Effective Action

A. Wipf; A. Zelnikov; V. Mukhanov

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On 4D-Hawing Radiation from Effective Action

V. Mukhanov, A. Wipf, A. Zelnikov

High Energy Physics - Theory · Submitted 3 Mar 1994

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

The authors' main claim The result is applied to $4d$-black holes and it is shown that the energy momentum tensor derived from the (nonlocal) effective action contains the Hawking radiation.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.52 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.19 · compares with prior results 0.72 · mentions code or data availability 0.02.

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We determine the $s$-waves contribution of a scalar field to the four dimensional effective action for arbitrary spherically symmetric external gravitational fields. The result is applied to $4d$-black holes and it is shown that the energy momentum tensor derived from the (nonlocal) effective action contains the Hawking radiation. The luminosity is close to the expected one in the $s$-channel. The energy momentum tensor may be used as starting point to study the backreaction problem.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We determine the $s$-waves contribution of a scalar field to the four dimensional effective action for arbitrary spherically symmetric external gravitational fields.	contribution 0.98	0.95	0.08	asserted 1.00
s1	The result is applied to $4d$-black holes and it is shown that the energy momentum tensor derived from the (nonlocal) effective action contains the Hawking radiation.	result 0.94	0.93	0.74	asserted 1.00
s2	The luminosity is close to the expected one in the $s$-channel.	result 0.97	0.87	0.13	asserted 0.90
s3	The energy momentum tensor may be used as starting point to study the backreaction problem.	future work 0.95	0.37	0.07	hedged possibility 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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The paper

Original abstract

We determine the $s$-waves contribution of a scalar field to the four dimensional effective action for arbitrary spherically symmetric external gravitational fields. The result is applied to $4d$-black holes and it is shown that the energy momentum tensor derived from the (nonlocal) effective action contains the Hawking radiation. The luminosity is close to the expected one in the $s$-channel. The energy momentum tensor may be used as starting point to study the backreaction problem.

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References

Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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Quantum backreaction generates horizons that cloak the Choptuik naked singularity, reducing its predictability violation to the standard black hole evaporation problem.
The Fate of Nucleated Black Holes in de Sitter Quantum Gravity
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Nucleated maximal-mass black holes in de Sitter space undergo thermal Hawking evaporation in smooth quantum states and return fully to the empty de Sitter vacuum.
Quantum radiation from an evaporating non-singular black hole
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For Hayward-type non-singular evaporating black holes, the quantum energy flux from the inner horizon is exponentially large when the redshift factor is trivial, and still exceeds the black hole's initial mass when it...
Test of quantum atmosphere in the dimensionally reduced Schwarzschild black hole
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In a dimensionally reduced Schwarzschild black hole, the temperature carried by outgoing Hawking modes vanishes at the horizon, peaks near 1.43 to 1.5 r_h, and approaches the Hawking temperature at infinity.

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Wald-like entropy and Islands in Dimensionally Reduced Einstein-Hilbert Gravity
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Wald-like Noether charge of the DREH plus Polyakov-Liouville action yields the island generalized entropy and unitary Page curves for eternal and quasi-stationary evaporating black holes.
Anomaly-driven evaporation endpoints of a two-dimensional regular black hole
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The FFN dilaton-coupled anomaly model applied to the 2D Bardeen-like black hole enforces r_∞=√2 ℓ for quiescent finite-radius branches and excludes most null branches except the borderline p=2 power-law case under str...
Ramifications of Lineland
hep-th 2006-04 unverdicted novelty 2.0 of 10

This is a non-technical review of two-dimensional dilaton gravity and its applications across string theory, black hole physics, and integrable models.

How the literature uses it

13 arXiv papers cite this in 14 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 10 sentences without a confident label

Uses its method or tool 1 paper

For $N≫1$ the one-loop effective action describing the semiclassical back-reaction due to this matter sector is given by adding the following conformal anomaly term to the action [ref] , S_q = - N/12 ∫d^2x √(-g) ( 1/2 R ^-1 R - 6 (∇r)^2/r^2 ^-1 R - 6 R lnr ) .

Thermodynamics of Large AdS Black Holes · One-loop action · 0.83

Cites it as background 3 papers

In the nineties, other approaches based on effective action have been proposed [ref] - [ref] .

Thermodynamics of nonspherical black holes from Liouville theory · Introduction · 0.97
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
The derivation of $T_H$ via effective actions and their associated energy-momentum-tensors of semiclassical scalars has been explored in various settings [ref] .

A Near Horizon CFT Dual for Kerr-Newman-$AdS$ · Introduction · 0.96

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