Built on

F.R. Klinkhamer, “Regularized big bang singularity,” Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
F.R. Klinkhamer and Z.L. Wang, “Nonsingular bouncing cosmology from general relativity,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
O. Hohm and B. Zwiebach, “Duality invariant cosmology to all orders in α ′ \alpha^{\prime} ,” Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
F.R. Klinkhamer and Z.L. Wang, “Asymmetric nonsingular bounce from a dynamic scalar field,” Lett. High Energy Phys. 3
Original
1906
Earlier work this paper cites.
P. Wang, H. Wu, H. Yang, and S. Ying, “Non-singular string cosmology via α ′ \alpha^{\prime} corrections,” J. High Enrgy Phys. 1910
Original
1909
Earlier work this paper cites.
F.R. Klinkhamer and Z.L. Wang, “Nonsingular bouncing cosmology from general relativity: Scalar metric perturbations,” to appear in Phys. Rev. D, arXiv:1911.06173
Original
1911
Earlier work this paper cites.
A.A. Friedmann, “Über die Krümmung des Raumes” (On the curvature of space), Z. Phys. 10
1924
Earlier work this paper cites.

Similar

S. Weinberg, Gravitation and Cosmology : Principles and Applications of the General Theory of Relativity (John Wiley and Sons, New York, 1972)
1972
Cited alongside, same era.
S.W. Hawking and G.F.R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, England, 1973)
1973
Cited alongside, same era.
C. Teitelboim, “How commutators of constraints reflect the space-time structure,” Annals Phys. (N.Y.) 79
1973
Cited alongside, same era.
S.A. Hojman, K. Kuchar, and C. Teitelboim, “Geometrodynamics regained,” Annals Phys. (N.Y.) 96
1976
Cited alongside, same era.
E. Witten, “Singularities in string theory,” in: Proceedings of the International Congress of Mathematicians, Beijing 2002 (World Scientific Publ., Singapore, 2002), Vol. 1, pp. 495–504, arXiv:hep-th/0212349
2002
Cited alongside, same era.

Then

A. Ashtekar and P. Singh, “Loop quantum cosmology: A status report,” Class. Quant. Grav. 28
Original
2011
Later among the works it cites.
N. Pinto-Neto and J.C. Fabris, “Quantum cosmology from the de-Broglie-Bohm perspective,” Class. Quant. Grav. 30
Original
2013
Later among the works it cites.
F.R. Klinkhamer and F. Sorba, “Comparison of spacetime defects which are homeomorphic but not diffeomorphic,” J. Math. Phys. (N.Y.) 55
Original
2014
Later among the works it cites.
A. Ashtekar and A. Barrau, “Loop quantum cosmology: From pre-inflationary dynamics to observations,” Class. Quant. Grav. 32
Original
2015
Later among the works it cites.
A. Ijjas and P.J. Steinhardt, “Bouncing cosmology made simple,” Class. Quant. Grav. 35

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2019

More on the regularized big bang singularity

Klinkhamer, F. R.

Understand

The big bang singularity of the expanding-universe Friedmann solution of the Einstein gravitational field equation can be regularized by the introduction of a degenerate metric and a nonzero length scale $b$.

The result is a nonsingular bounce of the cosmic scale factor with a contracting prebounce phase and an expanding postbounce phase.
The corresponding maximum values of the curvature and the energy density occur at the moment of the bounce and are proportional to powers of $1/b$.
This article presents a detailed calculation of the dynamics of such a nonsingular bounce.

Built on

F.R. Klinkhamer, “Regularized big bang singularity,” Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
F.R. Klinkhamer and Z.L. Wang, “Nonsingular bouncing cosmology from general relativity,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
O. Hohm and B. Zwiebach, “Duality invariant cosmology to all orders in α ′ \alpha^{\prime} ,” Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
F.R. Klinkhamer and Z.L. Wang, “Asymmetric nonsingular bounce from a dynamic scalar field,” Lett. High Energy Phys. 3
Original
1906
Earlier work this paper cites.
P. Wang, H. Wu, H. Yang, and S. Ying, “Non-singular string cosmology via α ′ \alpha^{\prime} corrections,” J. High Enrgy Phys. 1910
Original
1909
Earlier work this paper cites.
F.R. Klinkhamer and Z.L. Wang, “Nonsingular bouncing cosmology from general relativity: Scalar metric perturbations,” to appear in Phys. Rev. D, arXiv:1911.06173
Original
1911
Earlier work this paper cites.
A.A. Friedmann, “Über die Krümmung des Raumes” (On the curvature of space), Z. Phys. 10
1924
Earlier work this paper cites.

Similar

S. Weinberg, Gravitation and Cosmology : Principles and Applications of the General Theory of Relativity (John Wiley and Sons, New York, 1972)
1972
Cited alongside, same era.
S.W. Hawking and G.F.R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, England, 1973)
1973
Cited alongside, same era.
C. Teitelboim, “How commutators of constraints reflect the space-time structure,” Annals Phys. (N.Y.) 79
1973
Cited alongside, same era.
S.A. Hojman, K. Kuchar, and C. Teitelboim, “Geometrodynamics regained,” Annals Phys. (N.Y.) 96
1976
Cited alongside, same era.
E. Witten, “Singularities in string theory,” in: Proceedings of the International Congress of Mathematicians, Beijing 2002 (World Scientific Publ., Singapore, 2002), Vol. 1, pp. 495–504, arXiv:hep-th/0212349
2002
Cited alongside, same era.

Then

A. Ashtekar and P. Singh, “Loop quantum cosmology: A status report,” Class. Quant. Grav. 28
Original
2011
Later among the works it cites.
N. Pinto-Neto and J.C. Fabris, “Quantum cosmology from the de-Broglie-Bohm perspective,” Class. Quant. Grav. 30
Original
2013
Later among the works it cites.
F.R. Klinkhamer and F. Sorba, “Comparison of spacetime defects which are homeomorphic but not diffeomorphic,” J. Math. Phys. (N.Y.) 55
Original
2014
Later among the works it cites.
A. Ashtekar and A. Barrau, “Loop quantum cosmology: From pre-inflationary dynamics to observations,” Class. Quant. Grav. 32
Original
2015
Later among the works it cites.
A. Ijjas and P.J. Steinhardt, “Bouncing cosmology made simple,” Class. Quant. Grav. 35

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

A. Ashtekar, T. Pawlowski, and P. Singh, “Quantum nature of the big bang: Improved dynamics,” Phys. Rev. D 74

2006

Cited alongside, same era.

S.R. Das, “String theory and cosmological singularities,” Pramana 69

2007

Cited alongside, same era.

Original

2018

Later among the works it cites.

F.R. Klinkhamer, “On a soliton-type spacetime defect,” J. Phys. Conf. Ser. 1275

Original

2019

Closest in time.