English

Non-marginal LTB-like models with inverse triad corrections from loop quantum gravity

General Relativity and Quantum Cosmology 2009-11-06 v1 High Energy Physics - Theory

Abstract

Marginal LTB models with corrections from loop quantum gravity have recently been studied with an emphasis on potential singularity resolution. This paper corroborates and extends the analysis in two regards: (i) the whole class of LTB models, including non-marginal ones, is considered, and (ii) an alternative procedure to derive anomaly-free models is presented which first implements anomaly-freedom in spherical symmetry and then the LTB conditions rather than the other way around. While the two methods give slightly different equations of motion, not altogether surprisingly given the ubiquitous sprawl of quantization ambiguities, final conclusions remain unchanged: Compared to quantizations of homogeneous models, bounces seem to appear less easily in inhomogeneous situations, and even the existence of homogeneous solutions as special cases in inhomogeneous models may be precluded by quantum effects. However, compared to marginal models, bouncing solutions seem more likely with non-marginal models.

Keywords

Cite

@article{arxiv.0906.4767,
  title  = {Non-marginal LTB-like models with inverse triad corrections from loop quantum gravity},
  author = {Martin Bojowald and Juan D. Reyes and Rakesh Tibrewala},
  journal= {arXiv preprint arXiv:0906.4767},
  year   = {2009}
}

Comments

35 pages, 1 figure

R2 v1 2026-06-21T13:17:55.733Z