Vacuum stability in Geometric Trinity of Gravity
Abstract
We investigate whether the classical equivalence of general relativity, its teleparallel equivalent, and its symmetric teleparallel equivalent extends to false-vacuum decay at leading semiclassical order. For a real scalar field minimally coupled to gravity, we compare the tunnelling exponent B=Sb−Sfv, which determines the exponential suppression of the decay rate, Γ∼ e−B, with the Euclidean bounce, Sb, and false-vacuum actions, Sfv. The three formulations admit the same O(4)-symmetric Coleman-De Luccia bounce, but the boundary terms relating their actions can contribute to B. We explicitly evaluate the torsion and non-metricity boundary contributions at the regular origin, r=0, and at the asymptotic endpoint, r→∞. For regular configurations with consistently matched bounce and false-vacuum boundary data, these contributions vanish in both TEGR and STEGR. We therefore obtain BGR=BTEGR=BSTEGR, establishing that the three formulations predict the same leading semiclassical suppression of false-vacuum decay within the class of configurations and boundary conditions considered.
Related
- The Pre-geometric Origin of Geometric Trinity of Gravity
- On Gauge Gravity's 'Hypermomentum Challenge' to the Geometric Trinity
- Dihedral Symmetry in Vacuum from Spontaneously Broken Pre-Geometric Gravity
- Quantum Relaxation Dynamics of Vacuum Energy from Pre-Geometric Gravity
- Quantum relaxation dynamics of vacuum energy from pre-geometric gravity
BibTeX
@misc{branchina2026vacuum,
title = {{Vacuum stability in Geometric Trinity of Gravity}},
author = {Vincenzo Branchina and Salvatore Capozziello and Filippo Contino and Carmen Ferrara},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.28956},
eprint = {2606.28956},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.28956},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Vacuum stability in Geometric Trinity of Gravity
AU - Vincenzo Branchina
AU - Salvatore Capozziello
AU - Filippo Contino
AU - Carmen Ferrara
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2606.28956
UR - https://arxiv.org/abs/2606.28956
AB - We investigate whether the classical equivalence of general relativity, its teleparallel equivalent, and its symmetric teleparallel equivalent extends to false-vacuum decay at leading semiclassical order. For a real scalar field minimally coupled to gravity, we compare the tunnelling exponent B=S_b−S_fv, which determines the exponential suppression of the decay rate, Γ∼ e^−B, with the Euclidean bounce, S_b, and false-vacuum actions, S_fv. The three formulations admit the same O(4)-symmetric Coleman-De Luccia bounce, but the boundary terms relating their actions can contribute to B. We explicitly evaluate the torsion and non-metricity boundary contributions at the regular origin, r=0, and at the asymptotic endpoint, r→∞. For regular configurations with consistently matched bounce and false-vacuum boundary data, these contributions vanish in both TEGR and STEGR. We therefore obtain B_GR=B_TEGR=B_STEGR, establishing that the three formulations predict the same leading semiclassical suppression of false-vacuum decay within the class of configurations and boundary conditions considered.
ER -