Scaling Solutions to 6D Gauged Chiral Supergravity

A. J. Tolley; C. de Rham; C.P. Burgess; D. Hoover

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Scaling Solutions to 6D Gauged Chiral Supergravity

A. J. Tolley, C.P. Burgess, C. de Rham, D. Hoover

High Energy Physics - Theory · Submitted 14 Aug 2006

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

The authors' main claim By matching their near-brane boundary conditions to physical brane properties we argue that these solutions (together with the known maximally-symmetric solutions and a new class of non-Lorentz-invariant static solutions, which we also present here) describe the bulk geometry between a pair of 3-branes with non-trivial on-brane equations of state.

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arXiv IDhep-th/0608083 (version 1)

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CitationA. J. Tolley, C. de Rham, C.P. Burgess, D. Hoover. "Scaling Solutions to 6D Gauged Chiral Supergravity." arXiv:hep-th/0608083 (2006). https://pith.science/paper/RMA7GGQP

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.28 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.27 · compares with prior results 0.71 · mentions code or data availability 0.02.

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We construct explicitly time-dependent exact solutions to the field equations of 6D gauged chiral supergravity, compactified to 4D in the presence of up to two 3-branes situated within the extra dimensions. The solutions we find are scaling solutions, and are plausibly attractors which represent the late-time evolution of a broad class of initial conditions. By matching their near-brane boundary conditions to physical brane properties we argue that these solutions (together with the known maximally-symmetric solutions and a new class of non-Lorentz-invariant static solutions, which we also present here) describe the bulk geometry between a pair of 3-branes with non-trivial on-brane equations of state.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We construct explicitly time-dependent exact solutions to the field equations of 6D gauged chiral supergravity, compactified to 4D in the presence of up to two 3-branes situated within the extra dimensions.	contribution 0.91	0.97	0.21	asserted 1.00
s1	The solutions we find are scaling solutions, and are plausibly attractors which represent the late-time evolution of a broad class of initial conditions.	interpretation 0.71	0.94	0.40	hedged possibility 0.80
s2	By matching their near-brane boundary conditions to physical brane properties we argue that these solutions (together with the known maximally-symmetric solutions and a new class of non-Lorentz-invariant static solutions, which we also present here) describe the bulk geometry between a pair of 3-branes with non-trivial on-brane equations of state.	interpretation 0.88	0.90	0.41	hedged possibility 0.60

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Original abstract

We construct explicitly time-dependent exact solutions to the field equations of 6D gauged chiral supergravity, compactified to 4D in the presence of up to two 3-branes situated within the extra dimensions. The solutions we find are scaling solutions, and are plausibly attractors which represent the late-time evolution of a broad class of initial conditions. By matching their near-brane boundary conditions to physical brane properties we argue that these solutions (together with the known maximally-symmetric solutions and a new class of non-Lorentz-invariant static solutions, which we also present here) describe the bulk geometry between a pair of 3-branes with non-trivial on-brane equations of state.

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25 arXiv papers cite this in 44 sentences

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Papers citing it · 21 sentences without a confident label

Compares with it 6 papers

We now consider cosmological solutions in the 4D effective theory and compare them with the known solutions to the full 6D field equations [ref] .

Low energy effective theory on a regularized brane in 6D gauged chiral supergravity · The exact time-dependent solutions in the 4D effective theory · 1.00
One can check directly that this configuration indeed solves the 6D supergravity equations, and in fact can be recognized as one of the scaling solutions found in [ref] , but with the scaling occurring along a 4D spatial coordinate, $z$, rather than time.

The Fate of Unstable Gauge Flux Compactifications · The Rugby Ball and its Decay · 0.84
This solution is the same as that found in Ref. [ref] , however, the $x^m$ dependence of the solution was not explicitely solved for there.

Dynamical solutions of warped six dimensional supergravity · Exponential solutions for $r$ and $a$ · 0.93

Cites it as background 11 papers

A wide variety of exact solutions to the 6D equations SSFEvarphi through SSFEinstein are known, including scaling solutions [ref] , wave solutions [ref] , black brane solutions [ref] and so on.

4D de Sitter from String Theory via 6D Supergravity · A broader class of solutions · 0.88
Braneworlds in 6D supergravity have also been much investigated: solutions with 4D maximal symmetry [ref] or time-dependent dynamics [ref] have been found, and the behavior of perturbations has been studied in [ref] .

Hybrid compactifications and brane gravity in six dimensions · Introduction · 1.00
In most of brane-world scenarios, based on the Salam-Sezgin model, $H$ field was set to zero and a 4-dimensional Lorentz symmetric compactification was presented [ref] .

Graviton Propagation in an Asymmetric Warped Background: Lorentz Violation and the Null Energy Condition · Introduction · 0.95

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