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Causal structure and the geodesics in the hairy extension of the Bertotti-Robinson spacetime

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Vahideh Memari, S. Habib Mazharimousavi

General Relativity and Quantum Cosmology · Submitted 27 Jan 2023

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

The authors' main claim The general geodesics of null and massive particles reveal that all particles except the outgoing light ray, eventually fall into the black hole.

how it is stated · asserted 1.00 read the record →

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arXiv ID2301.11665 (version 2)
Pith IDKUXQIN5V, Pith's permanent record of this paper and its review
CitationS. Habib Mazharimousavi, Vahideh Memari. "Causal structure and the geodesics in the hairy extension of the Bertotti-Robinson spacetime." arXiv:2301.11665 (2023). https://pith.science/paper/KUXQIN5V
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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.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,393 input tokens.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.12 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

A hairy extension of the Bertotti-Robinson regular spacetime has been recently introduced in the context of the Einstein-Maxwell-Scaler theory that surprisingly is a singular black hole formed in the $S_{3}$ background spatial topology [CQG39(2022)167001]. In this research, we first clarify the topology of the spacetime based on the coordinate transformations as well as the energy-momentum configuration and the causal structure of the black hole. Furthermore, we investigate the geodesics of the null and timelike particles in this spacetime. It is shown that in the radial motion on the equatorial plane, while photons may collapse to the singularity or escape to the edge of the universe, a massive particle always collapses to the singularity. The general geodesics of null and massive particles reveal that all particles except the outgoing light ray, eventually fall into the black hole.

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 A hairy extension of the Bertotti-Robinson regular spacetime has been recently introduced in the context of the Einstein-Maxwell-Scaler theory that surprisingly is a singular black hole formed in the $S_{3}$ background spatial topology [CQG39(2022)167001]. background 0.99 0.07 0.08 asserted 1.00
s1 In this research, we first clarify the topology of the spacetime based on the coordinate transformations as well as the energy-momentum configuration and the causal structure of the black hole. contribution 0.97 0.91 0.05 asserted 0.82
s2 Furthermore, we investigate the geodesics of the null and timelike particles in this spacetime. contribution 0.98 0.92 0.05 asserted 0.73
s3 It is shown that in the radial motion on the equatorial plane, while photons may collapse to the singularity or escape to the edge of the universe, a massive particle always collapses to the singularity. result 1.00 0.91 0.32 asserted 0.87
s4 The general geodesics of null and massive particles reveal that all particles except the outgoing light ray, eventually fall into the black hole. result 1.00 0.93 0.54 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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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

A hairy extension of the Bertotti-Robinson regular spacetime has been recently introduced in the context of the Einstein-Maxwell-Scaler theory that surprisingly is a singular black hole formed in the $S_{3}$ background spatial topology [CQG39(2022)167001]. In this research, we first clarify the topology of the spacetime based on the coordinate transformations as well as the energy-momentum configuration and the causal structure of the black hole. Furthermore, we investigate the geodesics of the null and timelike particles in this spacetime. It is shown that in the radial motion on the equatorial plane, while photons may collapse to the singularity or escape to the edge of the universe, a massive particle always collapses to the singularity. The general geodesics of null and massive particles reveal that all particles except the outgoing light ray, eventually fall into the black hole.

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