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Cosmology in p-brane systems
High Energy Physics - Theory · Submitted 10 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim However, if the special relation between dilaton couplings to antisymmetric tensor field strengths is satisfied, one can find a new class of solutions where all harmonic functions depend on time.
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The abstract, sentence by sentence
We present time-dependent solutions in the higher-dimensional gravity which are related to supergravity in the particular cases. Here, we consider p-branes with a cosmological constant and the intersections of two and more branes. The dynamical description of p-branes can be naturally obtained as the extension of static solutions. In the presence of a cosmological constant, we find accelerating solutions if the dilaton is not dynamical. In the case of intersecting branes, the field equations normally indicate that time-dependent solutions in supergravity can be found if only one harmonic function in the metric depends on time. However, if the special relation between dilaton couplings to antisymmetric tensor field strengths is satisfied, one can find a new class of solutions where all harmonic functions depend on time. We then apply our new solutions to study cosmology, with and without performing compactifications.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present time-dependent solutions in the higher-dimensional gravity which are related to supergravity in the particular cases. | contribution 0.93 | 0.93 | 0.13 | asserted 1.00 |
| s1 | Here, we consider p-branes with a cosmological constant and the intersections of two and more branes. | contribution 0.73 | 0.78 | 0.05 | asserted 0.89 |
| s2 | The dynamical description of p-branes can be naturally obtained as the extension of static solutions. | background 0.47 | 0.26 | 0.06 | asserted 0.86 |
| s3 | In the presence of a cosmological constant, we find accelerating solutions if the dilaton is not dynamical. | result 1.00 | 0.93 | 0.12 | asserted 0.99 |
| s4 | In the case of intersecting branes, the field equations normally indicate that time-dependent solutions in supergravity can be found if only one harmonic function in the metric depends on time. | background 0.86 | 0.23 | 0.10 | hedged possibility 0.94 |
| s5 | However, if the special relation between dilaton couplings to antisymmetric tensor field strengths is satisfied, one can find a new class of solutions where all harmonic functions depend on time. | result 0.83 | 0.83 | 0.39 | hedged possibility 0.61 |
| s6 | We then apply our new solutions to study cosmology, with and without performing compactifications. | contribution 0.92 | 0.92 | 0.20 | asserted 0.95 |
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The paper
Original abstract
We present time-dependent solutions in the higher-dimensional gravity which are related to supergravity in the particular cases. Here, we consider p-branes with a cosmological constant and the intersections of two and more branes. The dynamical description of p-branes can be naturally obtained as the extension of static solutions. In the presence of a cosmological constant, we find accelerating solutions if the dilaton is not dynamical. In the case of intersecting branes, the field equations normally indicate that time-dependent solutions in supergravity can be found if only one harmonic function in the metric depends on time. However, if the special relation between dilaton couplings to antisymmetric tensor field strengths is satisfied, one can find a new class of solutions where all harmonic functions depend on time. We then apply our new solutions to study cosmology, with and without performing compactifications.
Human review
How the literature uses it
14 arXiv papers cite this in 40 sentences
Papers citing it · 24 sentences without a confident label
Builds on it 1 paper
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This might suggest generalizing our discussion to the case of intersecting branes as done in [ref] .
Constraints on warped compactifications · Introduction · 0.84
Uses its method or tool 1 paper
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The paper is constructed as follows: In Secs. [ref] and [ref], we derive the dynamical intersecting brane solutions with cosmological constants in a $D$-dimensional theory following the approach developed in Ref. [ref] .
Colliding $p$-branes in the dynamical intersecting brane system · Introduction · 0.85
Uses its data or values 1 paper
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Actually, coupling constants take the particular values, which are written as [ref] 0:cc1:Eq c_n^2 = N_n-2(n-1)(D-n-1)/D-2 , c_I^2 = N_I-2(L_I-1)(D-L_I-1)/D-2 , c_0^2 = N_0+2(D-1)/D-2 ,
Warped spherical compactifications in the gravity theory · Warped de Sitter solutions · 0.82
Compares with it 1 paper
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These are same results as the case of delocalized brane solutions [ref] .
Dynamics of partially localized brane systems · Discussions · 1.00
Cites it as background 10 papers
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In Sec. [ref], we will review the dynamical $p$-brane solutions, which have dilaton coupling constants with the same value as static $p$-brane backgrounds [ref] .
Violation of cosmic censorship in dynamical $p$-brane systems · Introduction · 0.97
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In recent years much effort has been devoted to the construction of cosmological models in string theory produced by enlarging static $p$-brane solutions [ref] .
Dynamics of partially localized brane systems · Introduction · 0.93
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The exact dynamical solutions in the eleven- and ten-dimensional supergravity theory have been solved and studied recently [ref] .
Cosmological brane systems in warped spacetime · Introduction · 0.95
What it cites · 39 sentences without a confident label
Builds on 5 papers
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These examples are inspired by and generalize an example considered in Sec. 2 of [ref] as well as the detailed analysis of cosmological models in [ref] .
Dynamics of intersecting brane systems -- Classification and their applications -- · Introduction · 0.99
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These examples are inspired by and generalize an example considered in Sec. 2 of [ref] as well as the detailed analysis of cosmological models in [ref] .
Dynamical solutions in the 3-Form Field Background in the Nishino-Salam-Sezgin Model · Introduction · 0.99
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The form of the metric ([ref]) is a straightforward generalization of the case of a static $p$-brane system with a dilaton coupling [ref] .
Dynamical D4-D8 and D3-D7 branes in supergravity · Theory · 0.95
Uses data or values from 1 paper
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for the $N=4^g$ class of the six-dimensional Romans theory [ref] , following the classification in Ref. [ref] , the coupling of the 3-form and of the 2-form field strengths to the dilaton are given by $ϵ_rc_r=-√(2)$, $ϵ_sc_s=1/√(2)$, respectively.
Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions · The case of $1/N_r+1/N_s≠1/4$ · 0.80
Compares with 2 papers
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The result is similar to a higher-dimensional extension of DGP [ref] .
Self-accelerating solutions in the cascading DGP braneworld · Brane world in the asymptotically de Sitter spacetime · 0.96
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Note that the scaling solution in the NSS model obtained in Ref. [ref] has the similar time dependence, although in this case the 2-form field strength is magnetic.
Scaling Solutions to 6D Gauged Chiral Supergravity · Asymptotically Milne solution · 1.00
Cites as background 21 papers
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The dynamical solutions for the case of $N=4$ have been already discussed in [ref] .
Dynamical p-branes with a cosmological constant · Theory · 0.91
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The examples relevant for us are the multicentered Kastor-Traschen solutions [ref] .
Cosmological Multi-Black Hole Solutions · Introduction · 0.89
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arising from $n$ field strengths [ref] .
Supersymmetric Intersecting Branes in Time-dependent Backgrounds · Introduction · 0.83
Discussion
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