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Global Consistency of Cosmological Braneworlds in Palatini and Metric-Affine f(R) Gravity

Abstract

We investigate global consistency conditions for five-dimensional warped braneworlds in Palatini and metric-affine gravity. Starting from the generalized Gibbons-Kallosh-Linde framework, we derive integrated sum rules for cosmological warped geometries and examine how independent connection degrees of freedom modify the standard Einstein-gravity obstruction to smooth compact braneworlds. The analysis separates geometric, matter, and non-Riemannian contributions and clarifies the conditions under which the usual no-go result can be modified. We show that the generalized consistency relations provide necessary global constraints on admissible configurations and identify the terms responsible for possible departures from the Riemannian case. The results establish a systematic framework for testing the global consistency of smooth five-dimensional braneworlds in gravitational theories with independent affine structure.

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BibTeX
@misc{silva2026global,
  title = {{Global Consistency of Cosmological Braneworlds in Palatini and Metric-Affine f(R) Gravity}},
  author = {Paulo Michel L. T da Silva},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.05821},
  eprint = {2610.05821},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.05821},
}
RIS
TY  - UNPB
TI  - Global Consistency of Cosmological Braneworlds in Palatini and Metric-Affine f(R) Gravity
AU  - Paulo Michel L. T da Silva
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.05821
UR  - https://arxiv.org/abs/2610.05821
AB  - We investigate global consistency conditions for five-dimensional warped braneworlds in Palatini and metric-affine gravity. Starting from the generalized Gibbons-Kallosh-Linde framework, we derive integrated sum rules for cosmological warped geometries and examine how independent connection degrees of freedom modify the standard Einstein-gravity obstruction to smooth compact braneworlds. The analysis separates geometric, matter, and non-Riemannian contributions and clarifies the conditions under which the usual no-go result can be modified. We show that the generalized consistency relations provide necessary global constraints on admissible configurations and identify the terms responsible for possible departures from the Riemannian case. The results establish a systematic framework for testing the global consistency of smooth five-dimensional braneworlds in gravitational theories with independent affine structure.
ER  -