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Title: Singular instantons in Eddington-inspired-Born-Infeld gravity

In this study, we investigate O(4)-symmetric instantons within the Eddington-inspired-Born-Infeld gravity theory (EiBI) . We discuss the regular Hawking-Moss instanton and find that the tunneling rate reduces to the General Relativity (GR) value, even though the action value is different by a constant. We give a thorough analysis of the singular Vilenkin instanton and the Hawking-Turok instanton with a quadratic scalar field potential in the EiBI theory. In both cases, we find that the singularity can be avoided in the sense that the physical metric, its scalar curvature and the scalar field are regular under some parameter restrictions, but there is a curvature singularity of the auxiliary metric compatible with the connection. We find that the on-shell action is finite and the probability does not reduce to its GR value. We also find that the Vilenkin instanton in the EiBI theory would still cause the instability of the Minkowski space, similar to that in GR, and this is observationally inconsistent. This result suggests that the singularity of the auxiliary metric may be problematic at the quantum level and that these instantons should be excluded from the path integral.
Authors:
 [1] ;  [1] ;  [2] ;  [1]
  1. National Taiwan Univ., Taipei (Taiwan)
  2. National Taiwan Univ., Taipei (Taiwan); Stanford, CA (United States). SLAC National Accelerator Lab.Stanford Univ.
Publication Date:
Grant/Contract Number:
AC02-76SF00515
Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2017; Journal Issue: 03; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; modified gravity; quantum cosmology; physics of the early universe
OSTI Identifier:
1374375

Arroja, Frederico, Chen, Che -Yu, Chen, Pisin, and Yeom, Dong-han. Singular instantons in Eddington-inspired-Born-Infeld gravity. United States: N. p., Web. doi:10.1088/1475-7516/2017/03/044.
Arroja, Frederico, Chen, Che -Yu, Chen, Pisin, & Yeom, Dong-han. Singular instantons in Eddington-inspired-Born-Infeld gravity. United States. doi:10.1088/1475-7516/2017/03/044.
Arroja, Frederico, Chen, Che -Yu, Chen, Pisin, and Yeom, Dong-han. 2017. "Singular instantons in Eddington-inspired-Born-Infeld gravity". United States. doi:10.1088/1475-7516/2017/03/044. https://www.osti.gov/servlets/purl/1374375.
@article{osti_1374375,
title = {Singular instantons in Eddington-inspired-Born-Infeld gravity},
author = {Arroja, Frederico and Chen, Che -Yu and Chen, Pisin and Yeom, Dong-han},
abstractNote = {In this study, we investigate O(4)-symmetric instantons within the Eddington-inspired-Born-Infeld gravity theory (EiBI) . We discuss the regular Hawking-Moss instanton and find that the tunneling rate reduces to the General Relativity (GR) value, even though the action value is different by a constant. We give a thorough analysis of the singular Vilenkin instanton and the Hawking-Turok instanton with a quadratic scalar field potential in the EiBI theory. In both cases, we find that the singularity can be avoided in the sense that the physical metric, its scalar curvature and the scalar field are regular under some parameter restrictions, but there is a curvature singularity of the auxiliary metric compatible with the connection. We find that the on-shell action is finite and the probability does not reduce to its GR value. We also find that the Vilenkin instanton in the EiBI theory would still cause the instability of the Minkowski space, similar to that in GR, and this is observationally inconsistent. This result suggests that the singularity of the auxiliary metric may be problematic at the quantum level and that these instantons should be excluded from the path integral.},
doi = {10.1088/1475-7516/2017/03/044},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 03,
volume = 2017,
place = {United States},
year = {2017},
month = {3}
}