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Brane World Cosmology Without the Z_2 Symmetry
High Energy Physics - Phenomenology · Submitted 14 Aug 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that any brane world senario of this type must revert to a Z_2 symmetric form at late times, and hence rule out certain proposed scenarios.
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The abstract, sentence by sentence
The Friedmann equation for a positive tension brane situated between two bulk spacetimes that posses the same 5D cosmological constant, but which does not posses a Z_2 symmetry of the metric itself is derived, and the possible effects of dropping the Z_2 symmetry on the expansion of our Universe are examined; cosmological constraints are discussed. The global solutions for the metric in the infinite extra dimension case are found and comparison with the symmetric case is made. We show that any brane world senario of this type must revert to a Z_2 symmetric form at late times, and hence rule out certain proposed scenarios.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The Friedmann equation for a positive tension brane situated between two bulk spacetimes that posses the same 5D cosmological constant, but which does not posses a Z_2 symmetry of the metric itself is derived, and the possible effects of dropping the Z_2 symmetry on the expansion of our Universe are examined; cosmological constraints are discussed. | contribution 1.00 | 0.94 | 0.12 | asserted 0.93 |
| s1 | The global solutions for the metric in the infinite extra dimension case are found and comparison with the symmetric case is made. | contribution 0.64 | 0.94 | 0.04 | asserted 1.00 |
| s2 | We show that any brane world senario of this type must revert to a Z_2 symmetric form at late times, and hence rule out certain proposed scenarios. | result 0.84 | 0.93 | 0.86 | asserted 1.00 |
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The paper
Original abstract
The Friedmann equation for a positive tension brane situated between two bulk spacetimes that posses the same 5D cosmological constant, but which does not posses a Z_2 symmetry of the metric itself is derived, and the possible effects of dropping the Z_2 symmetry on the expansion of our Universe are examined; cosmological constraints are discussed. The global solutions for the metric in the infinite extra dimension case are found and comparison with the symmetric case is made. We show that any brane world senario of this type must revert to a Z_2 symmetric form at late times, and hence rule out certain proposed scenarios.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 2 papers
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Second, our analysis assumes $ℤ_2$ symmetry and a static bulk mass parameter; relaxing these assumptions, allowing for asymmetric embeddings [ref] , brane-bulk energy exchange, or time-dependent bulk black hole mass would clarify how general the inflationary mechanism remains beyond the present setup.
Cosmic Inflation From Regular Black Holes · Conclusion and discussion · 0.81
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It is widely assumed that in braneworld scenarios $Z_2$-symmetry is imposed [ref] and under this symmetry, which originated in $M$-theory, the bulk metric on both sides of the brane should be the same [ref] .
Thick branes via higher order field theory models with exponential and power-law tails · Introduction · 0.87
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