Abstract
A possibility of journeys through antigravity has recently been proposed, with the suggestion that Weyl-invariant extension of scalars coupled to Einstein gravity allows for an unambiguous classical evolution through cosmological singularities in anisotropic spacetimes. We compute the Weyl invariant curvature squared and find that it blows up for the proposed anisotropic solution both at the Big Crunch as well as at the Big Bang. Therefore the cosmological singularities are not resolved by uplifting Einstein theory to a Weyl invariant model.
Article PDF
Similar content being viewed by others
References
A.D. Linde, Gauge theory and the variability of the gravitational constant in the early universe, Phys. Lett. B 93 (1980) 394 [Pisma Zh. Eksp. Teor. Fiz. 30 (1979) 479] [INSPIRE].
A. Starobinsky, Can the effective gravitational constant become negative?, Sov. Astron. Lett. 7 (1981) 36 [Pis’ma Astron. Zh. 7 (1981) 67].
T. Futamase, T. Rothman and R. Matzner, Behavior of chaotic inflation in anisotropic cosmologies with nonminimal coupling, Phys. Rev. D 39 (1989) 405 [INSPIRE].
L.R. Abramo, L. Brenig, E. Gunzig and A. Saa, On the singularities of gravity in the presence of nonminimally coupled scalar fields, Phys. Rev. D 67 (2003) 027301 [gr-qc/0210069] [INSPIRE].
P. Caputa, S.S. Haque, J. Olson and B. Underwood, Cosmology or catastrophe? A non-minimally coupled scalar in an inhomogeneous universe, Class. Quant. Grav. 30 (2013) 195013 [arXiv:1306.0012] [INSPIRE].
I. Bars, Geodesically complete universe, arXiv:1109.5872 [INSPIRE].
I. Bars, S.-H. Chen, P.J. Steinhardt and N. Turok, Antigravity and the big crunch/big bang transition, Phys. Lett. B 715 (2012) 278 [arXiv:1112.2470] [INSPIRE].
I. Bars, Traversing cosmological singularities, complete journeys through spacetime including antigravity, arXiv:1209.1068 [INSPIRE].
I. Bars, P. Steinhardt and N. Turok, Local conformal symmetry in physics and cosmology, arXiv:1307.1848 [INSPIRE].
I. Bars, P.J. Steinhardt and N. Turok, Cyclic cosmology, conformal symmetry and the metastability of the Higgs, Phys. Lett. B 726 (2013) 50 [arXiv:1307.8106] [INSPIRE].
R. Kallosh and A. Linde, Hidden Superconformal Symmetry of the Cosmological Evolution, JCAP 01 (2014) 020 [arXiv:1311.3326] [INSPIRE].
L.E. Allen and D. Wands, Cosmological perturbations through a simple bounce, Phys. Rev. D 70 (2004)063515 [astro-ph/0404441] [INSPIRE].
B. Xue, D. Garfinkle, F. Pretorius and P.J. Steinhardt, Nonperturbative analysis of the evolution of cosmological perturbations through a nonsingular bounce, Phys. Rev. D 88 (2013)083509 [arXiv:1308.3044] [INSPIRE].
J.D. Barrow and D. Sloan, Bouncing anisotropic universes with varying constants, Phys. Rev. D 88 (2013) 023518 [arXiv:1304.6699] [INSPIRE].
J.J. van der Bij, H. van Dam and Y.J. Ng, The exchange of massless spin two particles, Physica 116A (1982) 307 [INSPIRE].
C.W. Misner, Mixmaster universe, Phys. Rev. Lett. 22 (1969) 1071 [INSPIRE].
L.D. Landau and E.M. Lifshitz, Textbook on theoretical physics. Volume 2: the classical theory of fields, fourth revised english edition, Pergamon Press, Oxford U.K. (1989).
V. Belinsky, I. Khalatnikov and E. Lifshitz, A general solution of the Einstein equations with a time singularity, Adv. Phys. 31 (1982) 639 [INSPIRE].
I. Bars, S.-H. Chen, P.J. Steinhardt and N. Turok, Complete set of homogeneous isotropic analytic solutions in scalar-tensor cosmology with radiation and curvature, Phys. Rev. D 86 (2012)083542 [arXiv:1207.1940] [INSPIRE].
O. Gron and S. Hervik, Gravitational entropy and quantum cosmology, Class. Quant. Grav. 18 (2001)601 [gr-qc/0011059] [INSPIRE].
D. Yllanes and J.M. Martín-García, xCoba: general component tensor computer algebra webpage, http://xact.es/xCoba/, (2005)-(2013).
J.M. Martín-García et al., xAct: efficient tensor computer algebra for Mathematica webpage, http://xact.es/, (2002)-(2013).
I. Bars, P. Steinhardt and N. Turok, Sailing through the big crunch-big bang transition, arXiv:1312.0739 [INSPIRE].
R.M. Wald, General relativity, Chicago Univ. Pr., Chicago U.S.A. (1984).
V. Belinski and E. Verdaguer, Gravitational solitons, Cambridge Univ. Pr., Cambridge U.K. (2001).
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1311.3671
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Carrasco, J.J.M., Chemissany, W. & Kallosh, R. Journeys through antigravity?. J. High Energ. Phys. 2014, 130 (2014). https://doi.org/10.1007/JHEP01(2014)130
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2014)130