Low energy effective string cosmology

Amitabha Lahiri; David Wands; E. J. Copeland

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Low energy effective string cosmology

E. J. Copeland, Amitabha Lahiri, David Wands

High Energy Physics - Theory · Submitted 30 Jun 1994

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

The authors' main claim In the case of $H$ field radiation (wavelengths within the Hubble length) we obtain the usual four dimensional radiation dominated FRW model as the unique late time attractor.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.96 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.33 · compares with prior results 0.33 · mentions code or data availability 0.02.

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We give the general analytic solutions derived from the low energy string effective action for four dimensional Friedmann-Robertson-Walker models with dilaton and antisymmetric tensor field, considering both long and short wavelength modes of the $H$-field. The presence of a homogeneous $H$-field significantly modifies the evolution of the scale factor and dilaton. In particular it places a lower bound on the allowed value of the dilaton. The scale factor also has a lower bound but our solutions remain singular as they all contain regions where the spacetime curvature diverges signalling a breakdown in the validity of the effective action. We extend our results to the simplest Bianchi I metric in higher dimensions with only two scale factors. We again give the general analytic solutions for long and short wavelength modes for the $H$ field restricted to the three dimensional space, which produces an anisotropic expansion. In the case of $H$ field radiation (wavelengths within the Hubble length) we obtain the usual four dimensional radiation dominated FRW model as the unique late time attractor.

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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 give the general analytic solutions derived from the low energy string effective action for four dimensional Friedmann-Robertson-Walker models with dilaton and antisymmetric tensor field, considering both long and short wavelength modes of the $H$-field.	contribution 0.98	0.95	0.15	asserted 1.00
s1	The presence of a homogeneous $H$-field significantly modifies the evolution of the scale factor and dilaton.	result 0.96	0.85	0.24	asserted 1.00
s2	In particular it places a lower bound on the allowed value of the dilaton.	result 0.98	0.88	0.20	asserted 1.00
s3	The scale factor also has a lower bound but our solutions remain singular as they all contain regions where the spacetime curvature diverges signalling a breakdown in the validity of the effective action.	limitation 0.82	0.93	0.23	asserted 1.00
s4	We extend our results to the simplest Bianchi I metric in higher dimensions with only two scale factors.	contribution 0.99	0.94	0.05	asserted 0.98
s5	We again give the general analytic solutions for long and short wavelength modes for the $H$ field restricted to the three dimensional space, which produces an anisotropic expansion.	contribution 0.98	0.96	0.08	asserted 1.00
s6	In the case of $H$ field radiation (wavelengths within the Hubble length) we obtain the usual four dimensional radiation dominated FRW model as the unique late time attractor.	result 0.99	0.92	0.24	asserted 1.00

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Original abstract

We give the general analytic solutions derived from the low energy string effective action for four dimensional Friedmann-Robertson-Walker models with dilaton and antisymmetric tensor field, considering both long and short wavelength modes of the $H$-field. The presence of a homogeneous $H$-field significantly modifies the evolution of the scale factor and dilaton. In particular it places a lower bound on the allowed value of the dilaton. The scale factor also has a lower bound but our solutions remain singular as they all contain regions where the spacetime curvature diverges signalling a breakdown in the validity of the effective action. We extend our results to the simplest Bianchi I metric in higher dimensions with only two scale factors. We again give the general analytic solutions for long and short wavelength modes for the $H$ field restricted to the three dimensional space, which produces an anisotropic expansion. In the case of $H$ field radiation (wavelengths within the Hubble length) we obtain the usual four dimensional radiation dominated FRW model as the unique late time attractor.

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8 arXiv papers cite this in 13 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

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Builds on it 1 paper

An extension of the work in [ref] , involving the antisymmetric tensor was made in [ref] and is based on a similar non-perturbative conformal invariance, which is different from the traditional approach [ref] .

Non-perturbative time-dependent String Backgrounds and Axion-induced Optical Activity · Introduction · 0.96

Cites it as support 2 papers

This may be a good approximation at early times if compared with the $Λ$ the curvature and/or kinetic energy are large, $Λ≪R, (∇ϕ)^2, H^2$ [ref] .

Anisotropic homogeneous string cosmology with two-loop corrections · Two-loop (order $α'$) $β$-functions and $α'$-corrected string effective action · 0.99
This may be a good approximation if the curvature and/or kinetic energy are large compared to the $Λ$, i.e. $Λ≪R, ∇ϕ, H^2$ [ref] .

New five-dimensional Bianchi type magnetically charged hairy topological black hole solutions in string theory · Low energy string effective action and one-loop Lg-functions · 0.97

Cites it as background 6 papers

The antisymmetric tensor usually implies an anisotropic metric [ref] , but it is also possible to consider an isotropic metric, either with an axion depending on time only [ref] , or with a plane wave axion, after a space-averaging of the energy momentum tensor corresponding to $H_ρμν$ [ref] .

Antisymmetric-Tensor and Electromagnetic effects in an alpha'-non-perturbative Four-Dimensional String Cosmology · Introduction · 0.82
Namely the LQG is the background independent quantisation of the Hilbert-Einstein action [equation] On the other side, ST of the closed strings leads to the gravitational action in the form [ref] [equation] where $H^2=H_μναH^μνα$ and $H_μνα=3! ∂_ [ μ B_να]$.

Universe from vacuum in loop-string cosmology · Introduction · 0.84
(with $H_ABC=_[AB_BC]$), which describes a 3-brane embedded in a 5-dimensional bulk with dilaton and Kalb-Ramond 2-form [ref] .

Bouncing cosmology from Kalb-Ramond Braneworld · The 5-D solution · 0.81

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