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PreprintCC BY 4.0arXiv

Big Crunching Your Big Bang: Doubly Warped Time-Dependent Type II Flux Backgrounds and Scale Separation

  • Kazi Fahim Reza Arko
  • Walid Hasan
  • M. Fahim Hoque
  • Ahmed Rakin Kamal
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Abstract

We construct three analytic, doubly warped cosmological solutions of massless type IIA supergravity with different choices of fluxes, namely, H3, F̃2 and F̃4 along internal directions. The H3 solution also belongs to the common NS--NS sector of type IIB. Our solutions show that, without localised sources, nonconstant warping on a smooth compact space is possible. We derive their eleven-dimensional uplifts and four-dimensional Einstein-frame cosmology. Each universe undergoes (decelerating) expansion from a Big Bang, reaches a maximum size, and undergoes contraction towards a Big Crunch. We also analyse the scale separation of these backgrounds and find that they exhibit a small Einstein frame Hubble scale to KK mass ratio |HE|/mKK≪1, although for a brief period of time, around the maxima of the scale factor in the Einstein frame. Finally, we analyse the supersymmetry of these backgrounds, which demonstrates that all three solutions break all forms of type IIA supersymmetry.

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Cite

BibTeXRIS
BibTeX
@misc{arko2026crunching,
  title = {{Big Crunching Your Big Bang: Doubly Warped Time-Dependent Type II Flux Backgrounds and Scale Separation}},
  author = {Kazi Fahim Reza Arko and Walid Hasan and M. Fahim Hoque and Ahmed Rakin Kamal},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30248},
  eprint = {2610.30248},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30248},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Big Crunching Your Big Bang: Doubly Warped Time-Dependent Type II Flux Backgrounds and Scale Separation
AU  - Kazi Fahim Reza Arko
AU  - Walid Hasan
AU  - M. Fahim Hoque
AU  - Ahmed Rakin Kamal
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.30248
UR  - https://arxiv.org/abs/2610.30248
AB  - We construct three analytic, doubly warped cosmological solutions of massless type IIA supergravity with different choices of fluxes, namely, H_3, F̃_2 and F̃_4 along internal directions. The H_3 solution also belongs to the common NS--NS sector of type IIB. Our solutions show that, without localised sources, nonconstant warping on a smooth compact space is possible. We derive their eleven-dimensional uplifts and four-dimensional Einstein-frame cosmology. Each universe undergoes (decelerating) expansion from a Big Bang, reaches a maximum size, and undergoes contraction towards a Big Crunch. We also analyse the scale separation of these backgrounds and find that they exhibit a small Einstein frame Hubble scale to KK mass ratio |H_E|/m_KK≪1, although for a brief period of time, around the maxima of the scale factor in the Einstein frame. Finally, we analyse the supersymmetry of these backgrounds, which demonstrates that all three solutions break all forms of type IIA supersymmetry.
ER  -