RECORD
Nature of singularities in anisotropic string cosmology
General Relativity and Quantum Cosmology · Submitted 19 Feb 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This implies that the determinant singularity may play a crucial role to lead to singular solutions in an anisotropic background.
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
We study nature of singularities in anisotropic string-inspired cosmological models in the presence of a Gauss-Bonnet term. We analyze two string gravity models-- dilaton-driven and modulus-driven cases-- in the Bianchi type-I background without an axion field. In both scenarios singularities can be classified in two ways- the determinant singularity where the main determinant of the system vanishes and the ordinary singularity where at least one of the anisotropic expansion rates of the Universe diverges. In the dilaton case, either of these singularities inevitably appears during the evolution of the system. In the modulus case, nonsingular cosmological solutions exist both in asymptotic past and future with determinant $D=+\infty$ and D=2, respectively. In both scenarios nonsingular trajectories in either future or past typically meet the determinant singularity in past/future when the solutions are singular, apart from the exceptional case where the sign of the time-derivative of dilaton is negative. This implies that the determinant singularity may play a crucial role to lead to singular solutions in an anisotropic background.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study nature of singularities in anisotropic string-inspired cosmological models in the presence of a Gauss-Bonnet term. | contribution 0.98 | 0.91 | 0.04 | asserted 0.62 |
| s1 | We analyze two string gravity models-- dilaton-driven and modulus-driven cases-- in the Bianchi type-I background without an axion field. | contribution 0.59 | 0.89 | 0.02 | asserted 0.94 |
| s2 | In both scenarios singularities can be classified in two ways- the determinant singularity where the main determinant of the system vanishes and the ordinary singularity where at least one of the anisotropic expansion rates of the Universe diverges. | result 0.68 | 0.75 | 0.11 | asserted 0.60 |
| s3 | In the dilaton case, either of these singularities inevitably appears during the evolution of the system. | result 1.00 | 0.85 | 0.13 | asserted 1.00 |
| s4 | In the modulus case, nonsingular cosmological solutions exist both in asymptotic past and future with determinant $D=+\infty$ and D=2, respectively. | result 1.00 | 0.89 | 0.14 | asserted 0.98 |
| s5 | In both scenarios nonsingular trajectories in either future or past typically meet the determinant singularity in past/future when the solutions are singular, apart from the exceptional case where the sign of the time-derivative of dilaton is negative. | result 0.99 | 0.87 | 0.25 | asserted 0.76 |
| s6 | This implies that the determinant singularity may play a crucial role to lead to singular solutions in an anisotropic background. | interpretation 1.00 | 0.80 | 0.63 | hedged possibility 1.00 |
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
We study nature of singularities in anisotropic string-inspired cosmological models in the presence of a Gauss-Bonnet term. We analyze two string gravity models-- dilaton-driven and modulus-driven cases-- in the Bianchi type-I background without an axion field. In both scenarios singularities can be classified in two ways- the determinant singularity where the main determinant of the system vanishes and the ordinary singularity where at least one of the anisotropic expansion rates of the Universe diverges. In the dilaton case, either of these singularities inevitably appears during the evolution of the system. In the modulus case, nonsingular cosmological solutions exist both in asymptotic past and future with determinant $D=+\infty$ and D=2, respectively. In both scenarios nonsingular trajectories in either future or past typically meet the determinant singularity in past/future when the solutions are singular, apart from the exceptional case where the sign of the time-derivative of dilaton is negative. This implies that the determinant singularity may play a crucial role to lead to singular solutions in an anisotropic background.
Human review
References
How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 2 papers
-
The cosmological application of the coupling $ξ(ϕ)$ has been extensively performed in the literature [ref] .
Cosmological stability in $f(\phi,{\cal G})$ gravity · Introduction · 0.95
-
The role of the same scalar-GB coupling in cosmology has been also extensively studied in the literature [ref] .
Coupled vector Gauss-Bonnet theories and hairy black holes · Introduction · 0.93
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.