Kasner solutions, climbing scalars and big-bang singularity

Cezar Condeescu; Emilian Dudas

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Kasner solutions, climbing scalars and big-bang singularity

Cezar Condeescu, Emilian Dudas

High Energy Physics - Theory · Submitted 4 Jun 2013

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

The authors' main claim We analyze an example with steep stabilizing potential and notice again a related critical behavior: for a potential steepness above a critical value, going backwards towards big-bang, the scalar undergoes wilder oscillations, with the steep potential pushing it back at every passage and not allowing the scalar to escape to infinity.

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We elaborate on a recently discovered phenomenon where a scalar field close to big-bang is forced to climb a steep potential by its dynamics. We analyze the phenomenon in more general terms by writing the leading order equations of motion near the singularity. We formulate the conditions for climbing to exist in the case of several scalars and after inclusion of higher-derivative corrections and we apply our results to some models of moduli stabilization. We analyze an example with steep stabilizing potential and notice again a related critical behavior: for a potential steepness above a critical value, going backwards towards big-bang, the scalar undergoes wilder oscillations, with the steep potential pushing it back at every passage and not allowing the scalar to escape to infinity. Whereas it was pointed out earlier that there are possible implications of the climbing phase to CMB, we point out here another potential application, to the issue of initial conditions in inflation.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We elaborate on a recently discovered phenomenon where a scalar field close to big-bang is forced to climb a steep potential by its dynamics.	contribution 0.50	0.24	0.30	asserted 1.00
s1	We analyze the phenomenon in more general terms by writing the leading order equations of motion near the singularity.	method 0.73	0.94	0.06	asserted 0.95
s2	We formulate the conditions for climbing to exist in the case of several scalars and after inclusion of higher-derivative corrections and we apply our results to some models of moduli stabilization.	contribution 0.93	0.94	0.18	asserted 0.99
s3	We analyze an example with steep stabilizing potential and notice again a related critical behavior: for a potential steepness above a critical value, going backwards towards big-bang, the scalar undergoes wilder oscillations, with the steep potential pushing it back at every passage and not allowing the scalar to escape to infinity.	result 0.99	0.91	0.24	asserted 1.00
s4	Whereas it was pointed out earlier that there are possible implications of the climbing phase to CMB, we point out here another potential application, to the issue of initial conditions in inflation.	interpretation 0.72	0.65	0.10	hedged possibility 0.91

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Original abstract

We elaborate on a recently discovered phenomenon where a scalar field close to big-bang is forced to climb a steep potential by its dynamics. We analyze the phenomenon in more general terms by writing the leading order equations of motion near the singularity. We formulate the conditions for climbing to exist in the case of several scalars and after inclusion of higher-derivative corrections and we apply our results to some models of moduli stabilization. We analyze an example with steep stabilizing potential and notice again a related critical behavior: for a potential steepness above a critical value, going backwards towards big-bang, the scalar undergoes wilder oscillations, with the steep potential pushing it back at every passage and not allowing the scalar to escape to infinity. Whereas it was pointed out earlier that there are possible implications of the climbing phase to CMB, we point out here another potential application, to the issue of initial conditions in inflation.

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References

Forward citations

Cited by 3 Pith papers

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

On Classical Stability with Broken Supersymmetry
hep-th 2018-11 conditional novelty 6.0 of 10

Linearized perturbation analysis shows that non-supersymmetric AdS flux vacua have scalar instabilities (removable by orbifold projection in one case), nine-dimensional Poincare vacua are stable, and ten-dimensional c...
Integrable Scalar Cosmologies I. Foundations and links with String Theory
hep-th 2013-07 conditional novelty 5.0 of 10

Nine families of exactly solvable one-scalar cosmologies with exponential potentials are derived and solved in closed form, and a string-theoretic origin for such potentials is proposed with a discrete formula for the...
Aspects of strings without spacetime supersymmetry
hep-th 2025-09 unverdicted novelty 2.0 of 10

A survey of tachyons and tadpoles in non-supersymmetric closed and orientifold strings, including ten-dimensional models and landscape attempts.

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16 arXiv papers cite this in 25 sentences

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Papers citing it · 21 sentences without a confident label

Builds on it 1 paper

which generalizes the choice in [ref] . “Critical” potential wells are special, and the reader is referred to [ref] for some amusing details. 12pt

Supersymmetry and Inflation · Sgoldstino-less Models vs String Theory: Climbing Scalars · 0.92

Cites it as support 1 paper

Moreover, while string loops are in principle under control for $g_s ≪1$, curvature corrections are expected to be relevant at the initial singularity [ref] .

On String Vacua without Supersymmetry: brane dynamics, bubbles and holography · Cosmological Dudas-Mourad solutions · 0.96

Cites it as background 2 papers

Possible imprints on the low–$ℓ$ tail of the CMB power spectrum were then discussed in [ref] , while an analysis of the mechanism near the initial singularity was recently presented in [ref] ; * the eventual collapse in a Big Crunch of systems of this type whenever the scalar tends to settle at a negative extremum of the potential $V(ϕ)$.

Integrable Scalar Cosmologies I. Foundations and links with String Theory · Introduction · 0.89
These intricacies were examined in a number of cases in [ref] , with due attention to possible ways of bypassing them, at least insofar as quadratic curvature corrections go, but no definite conclusion was reached in this sense.

Pre - Inflationary Clues from String Theory ? · Climbing Scalars and String Theory · 0.81

What it cites · 36 sentences without a confident label

Builds on 3 papers

Some of the solutions below are generalizations of the original Lucchin-Matarrese exact solution [ref] , which has in turn the interpretation of late-time attractor for the more general solution described in [ref] , [ref] .

Cosmology with positive and negative exponential potentials · Exact and mixed-type solutions for $n$ scalar fields · 0.88
Some of the solutions below are generalizations of the original Lucchin-Matarrese exact solution [ref] , which has in turn the interpretation of late-time attractor for the more general solution described in [ref] , [ref] .

On Climbing Scalars in String Theory · Exact and mixed-type solutions for $n$ scalar fields · 0.88
Some of the solutions below are generalizations of the original Lucchin-Matarrese exact solution [ref] , which has in turn the interpretation of late-time attractor for the more general solution described in [ref] , [ref] .

CMB Imprints of a Pre-Inflationary Climbing Phase · Exact and mixed-type solutions for $n$ scalar fields · 0.88

Compares with 2 papers

For the case analyzed in [ref] we recover the critical exponent from the condition that the scalar potential and its first derivative are (fractionally) less singular than the kinetic terms in the equations of motion.

On Climbing Scalars in String Theory · Introduction · 0.86
It would be interesting to compare what we find by asymptotic methods with other exact solutions [ref] .

Brane SUSY Breaking and Inflation: Implications for Scalar Fields and CMB Distorsion · Introduction · 0.87

Cites as support 7 papers

Indeed, recent results in [ref] indicate that a climbing phase would lead to a dampening of the power spectrum on large scales and oscillations superimposed on it that fit relatively well the Planck 2013 data [ref] .

Low power on large scales in just enough inflation models · Conclusions · 0.96
Indeed, recent results in [ref] indicate that a climbing phase would lead to a dampening of the power spectrum on large scales and oscillations superimposed on it that fit relatively well the Planck 2013 data [ref] .

CMB Imprints of a Pre-Inflationary Climbing Phase · Conclusions · 0.96
Indeed, recent results in [ref] indicate that a climbing phase would lead to a dampening of the power spectrum on large scales and oscillations superimposed on it that fit relatively well the Planck 2013 data [ref] .

Planck 2013 results. I. Overview of products and scientific results · Conclusions · 0.96

Cites as background 3 papers

Whereas $V_F$ is a scalar potential containing effects from fluxes and nonperturbative effects, the uplift potential $V_up$ can come from antibranes [ref] , D-terms generated by magnetic fluxes [ref] or F-terms from a dynamical supersymmetry breaking sector [ref] .

de Sitter Vacua in String Theory · Climbing in effective string models with moduli stabilization · 0.89
A particularly interesting framework for discussing the early time dynamics are models with moduli stabilization [ref] , with moduli fields, called $M$ describing the fluctuations of the dilaton and internal space in string theory.

Hierarchies from Fluxes in String Compactifications · Climbing in effective string models with moduli stabilization · 0.98
For observational consequences of other naked singularities, see [ref] .

Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities · Introduction · 0.97

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