Pith. Sign in

RECORD

Hawking radiation from a collapsing dust sphere and its back reaction at the event horizon -Weak value approach-

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Yuki Kanai, Akio Hosoya

General Relativity and Quantum Cosmology · Submitted 1 May 2012

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

The authors' main claim We argue that since the semi-classical approximation of the Einstein equation in the sense of the weak value breaks down there, the future geometry of the spacetime cannot be the Schwarzschild geometry.

how it is stated · hedged possibility 0.48 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv ID1205.0118 (version 2)
Pith IDZVMVJKZS, Pith's permanent record of this paper and its review
CitationAkio Hosoya, Yuki Kanai. "Hawking radiation from a collapsing dust sphere and its back reaction at the event horizon -Weak value approach-." arXiv:1205.0118 (2012). https://pith.science/paper/ZVMVJKZS
Claim paper

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

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,703 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.77 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.13 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

To see the back reaction of the Hawking radiation in a dynamical spacetime of the spherical gravitational collapse, we explicitly calculate the weak value of the energy-momentum tensor of the massless scalar field. The background geometry of a collapsing dust sphere is specified by using the Painleve-Gullstrand coordinates, in which the time coordinate coincides with the proper time of a free-falling observer and the metric tensor is regular at the event horizon. The result is that in the remote future the weak value diverges at the event horizon. We argue that since the semi-classical approximation of the Einstein equation in the sense of the weak value breaks down there, the future geometry of the spacetime cannot be the Schwarzschild geometry.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 To see the back reaction of the Hawking radiation in a dynamical spacetime of the spherical gravitational collapse, we explicitly calculate the weak value of the energy-momentum tensor of the massless scalar field. contribution 0.60 0.95 0.05 asserted 0.95
s1 The background geometry of a collapsing dust sphere is specified by using the Painleve-Gullstrand coordinates, in which the time coordinate coincides with the proper time of a free-falling observer and the metric tensor is regular at the event horizon. method 1.00 0.70 0.02 asserted 1.00
s2 The result is that in the remote future the weak value diverges at the event horizon. result 1.00 0.95 0.42 asserted 1.00
s3 We argue that since the semi-classical approximation of the Einstein equation in the sense of the weak value breaks down there, the future geometry of the spacetime cannot be the Schwarzschild geometry. interpretation 1.00 0.59 0.82 hedged possibility 0.48

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

The paper
Original abstract

To see the back reaction of the Hawking radiation in a dynamical spacetime of the spherical gravitational collapse, we explicitly calculate the weak value of the energy-momentum tensor of the massless scalar field. The background geometry of a collapsing dust sphere is specified by using the Painleve-Gullstrand coordinates, in which the time coordinate coincides with the proper time of a free-falling observer and the metric tensor is regular at the event horizon. The result is that in the remote future the weak value diverges at the event horizon. We argue that since the semi-classical approximation of the Einstein equation in the sense of the weak value breaks down there, the future geometry of the spacetime cannot be the Schwarzschild geometry.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

1 arXiv paper cite this in 2 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 · 1 sentence without a confident label

Uses its method or tool 1 paper

What it cites

Cites as background 1 paper
  • Traditionally people in quantum field theory have studied the vacuum expectation value of the energy-momentum tensor to study the back reaction of the Hawking radiation and found that the incoming energy flux is negative, which is consistent with the decrease of the black hole mass [ref] .

    Quantum Field Theory in Curved Spacetime · Introduction · 0.96

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.