Built on

C.B. Collins and J.M. Stewart, Qualitative Cosmology, Mon. Not. R. Astr. Soc., 153, 419 (1971)
1971
Earlier work this paper cites.
C.B. Collins, E.N. Glass and D.A. Wilkinson, Exact spatially homogeneous cosmologies, Gen. Rel. Grav., 12, 805 (1980)
1980
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A. Albrecht and P.J. Steinhardt, Cosmology for grand unified theories with radiatively induced symetry breaking, Phys. Rev. Lett. 48, 1220 (1982)
1982
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A. Banerjee, S.B. Duttachoudhury, and A.K. Sanyal, Bianchi type I cosmological model with a viscous fluid, J. Math. Phys. 26, 3010 (1985)
1985
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A. Banerjee, S.B. Duttachoudhury, and A.K. Sanyal, Bianchi Type-II Cosmological Model with Viscous Fluid, Gen. Relativ. and Gravit., 18, 461, (1986)
1986
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A. Banerjee and A.K. Sanyal, Homogeneous Anisotropic Cosmological Models with Viscous Fluid and Magnetic Field, Gen. Relativ. and Gravit., 18, 1251 (1986)
1986
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M.B. Ribeiro and A.K. Sanyal, Bianchi V I o VI_{o} viscous fluid cosmology with magnetic field, J. Math. Phys. 28, 657 (1987)
1987
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A. Banerjee and A.K. Sanyal, Irrotational Bianchi V Viscous Fluid Cosmology with Heat Flux, Gen. Relativ. and Gravitat., Vol. 20, 103 (1988)
1988
Earlier work this paper cites.
A. Banerjee and A.K. Sanyal and S. Chakraborty, Bianchi II, VIII, and IX viscous fluid cosmology, Astrophys. Space Sc. 166, 259, (1990), arXiv:2105.10696 [gr-qc]
Original
1990
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M.Visser, General Relativistic Energy Conditions: The Hubble expansion in the epoch of galaxy formation, Phys. Rev. D 56, 7578 (1997)
1997
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J. Khoury, B.A. Ovrut, P.J. Steinhardt and N. Turok, The ekpyrotic universe: colliding Branes and the origin of the hot big bang Phys. Rev. D 64, 123522 (2001)
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P.J. Steinhardt and N. Turok, A cyclic model of the universe, Science 296, 1436 (2002)
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J.K. Erickson, D.H. Wesley, P.J. Steinhardt and N. Turok, Kasner and mixmaster behavior in universes with equation of state ω ≥ 1 \omega\geq 1 , Phys Rev D 69, 063514 (2004)
2004
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R. Mandal, D. Saha, M. Alam and A.K. Sanyal, Probing early universe with a generalized action, Annals of Phys. 422 (2020) 168317, arXiv:2004.04332 [hep-th]
Original
2004
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A. Unzicker and T. Case, Translation of Einstein’s Attempt of a Unified Field Theory with Teleparallelism, arXiv:physics/0503046v1 (2005)
2005
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B.A. Ovrut, J. Khoury and E Buchbinder, Non-gaussianities in new ekpyrotic cosmology, Phys. Rev. Lett. 100, 171302 (2008)
2008
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G. R. Bengochea and R. Ferraro, Dark torsion as the cosmic speed-up, Phys. Rev. D 79, 124019 (2009)
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E. V. Linder, Einstein’s Other Gravity and the Acceleration of the Universe, Phys. Rev. D 81, 127301 (2010)
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K. Bamba, C. Q. Geng and C. C. Lee, Comment on “Einstein’s Other Gravity and the Acceleration of the Universe”, arXiv:1008.4036 [astro-ph.CO] (2010)
Original
2010
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S. Debnath and A.K. Sanyal, Canonical equivalence in anisotropic models for higher order theory of gravity, IJGMMP, 18, 2150058 (2021), arXiv:2010.16017 [hep-th]
Original
2010
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K. Bamba, C. Q. Geng, C. C. Lee and L. W. Luo, Equation of state for dark energy in f ⁡ ( T ) f(T) gravity, JCAP, 1101, 021 (2011)
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B. Li, T.P. Sotiriou, J.D. Barrow, f ⁡ ( T ) f(T) gravity and local Lorentz invariance, Phys. Rev. D 83, 064035 (2011)
2011
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H. Amirhashchi, Viscous dark energy in Bianchi type V spacetime, Phys. Rev. D, 96, 123507 (2017)
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E. Curiel, A Primer on Energy Conditions. In: Towards a Theory of Spacetime Theories. Einstein Studies, vol 13. Birkhäuser, New York, eds. D. Lehmkuhl, G. Schiemann and E, Scholz (2017)
2017
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S. Debnath, S. Ruz, R. Mandal and A.K. Sanyal, History of cosmic evolution with modified Gauss–Bonnet-dilatonic coupled term, Eur. Phys. J. C. 77, 318 (2017), arXiv:1608.04669 [gr-qc]
Original
2017
Earlier work this paper cites.
R. Mandal and A.K. Sanyal, Equivalent and inequivalent canonical structures of higher order theories of gravity, Phys. Rev D 96, 084025 (2017), arXiv:1709.05201 [gr-qc]
Original
2017
Earlier work this paper cites.

Similar

J.B. Jimenez, L. Heisenberg and T. Koivisto, Coincident General Relativity, Phys. Rev. D 98, 044048 (2018)
2018
Cited alongside, same era.
H. Amirhashchi, Probing dark energy in the scope of a Bianchi type I spacetime, Phys. Rev. D, 97, 063515 (2018)
2018
Cited alongside, same era.
R. Mandal, C. Sarkar and A.K. Sanyal, Early universe with modified scalar-tensor theory of gravity, JHEP 05, 078 (2018), arXiv:1801.04056 [hep-th]
Original
2018
Cited alongside, same era.
K. Enqvist, R.J. Hardwick, T. Tenkanen, V. Venninb and D. Wands, A novel way to determine the scale of inflation, JCAP, 02, 006 (2018), arXiv:1711.07344 [astro-ph.CO]
Original
2018
Cited alongside, same era.
J. B. Jimenez, L. Heisenberg and T.S. Koivisto, The Geometrical Trinity of Gravity, Universe 5(7), 173 (2019)
2019

Then

S. Debnath and A.K. Sanyal, Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity, Class. Quantum Grav. 38, 125010 (2021), arXiv:2105.09811 [gr-qc]
Original
2021
Later among the works it cites.
R. Mandal, D. Saha, M. Alam and A.K. Sanyal, Early Universe in view of a modified theory of gravity, Class. Quantum Grav. 38, 025001 (2021), arXiv:2101.02851 [hep-th]
Original
2021
Later among the works it cites.
D. Saha, M. Alam, R. Mandal and A.K. Sanyal, Conflict between some higher-order curvature invariant terms, Nuclear Phys. B 973, 115570 (2021), arXiv:2106.06740 [gr-qc]
Original
2021
Later among the works it cites.
I. Ayuso. R. Lazkoz, V. Salzano, Observational constraints on cosmological solutions of f ⁡ ( Q ) f(Q) theories, Phys. Rev. D, 103, 063505 (2021)
2021
Later among the works it cites.

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2022

Probing symmetric teleparallel gravity in the early universe

De, Avik, Saha, Dalia, Subramaniam, Ganesh et al.

Understand

General theory of relativity can be equivalently formulated on a flat space-time associating a torsion-free affine connection of non-vanishing non-metricity scalar $Q$.

In this paper, we present an extension of this, viz., the $f(Q)$ theory of gravity, and explore the early evolution of the universe in the background of anisotropic Bianchi-I model.
The $f(Q)$ theory in the current setting through its geometric modification is quite successful in explaining the late time accelerated expansion.
Here we note that it accommodates latest released constraints on the inflationary parameters by Planck's collaboration group with excellent precession, but fails to produce a viable decelerated expansion in the radiation dominated era.

Built on

C.B. Collins and J.M. Stewart, Qualitative Cosmology, Mon. Not. R. Astr. Soc., 153, 419 (1971)
1971
Earlier work this paper cites.
C.B. Collins, E.N. Glass and D.A. Wilkinson, Exact spatially homogeneous cosmologies, Gen. Rel. Grav., 12, 805 (1980)
1980
Earlier work this paper cites.
A. Albrecht and P.J. Steinhardt, Cosmology for grand unified theories with radiatively induced symetry breaking, Phys. Rev. Lett. 48, 1220 (1982)
1982
Earlier work this paper cites.
A. Banerjee, S.B. Duttachoudhury, and A.K. Sanyal, Bianchi type I cosmological model with a viscous fluid, J. Math. Phys. 26, 3010 (1985)
1985
Earlier work this paper cites.
A. Banerjee, S.B. Duttachoudhury, and A.K. Sanyal, Bianchi Type-II Cosmological Model with Viscous Fluid, Gen. Relativ. and Gravit., 18, 461, (1986)
1986
Earlier work this paper cites.
A. Banerjee and A.K. Sanyal, Homogeneous Anisotropic Cosmological Models with Viscous Fluid and Magnetic Field, Gen. Relativ. and Gravit., 18, 1251 (1986)
1986
Earlier work this paper cites.
M.B. Ribeiro and A.K. Sanyal, Bianchi V I o VI_{o} viscous fluid cosmology with magnetic field, J. Math. Phys. 28, 657 (1987)
1987
Earlier work this paper cites.
A. Banerjee and A.K. Sanyal, Irrotational Bianchi V Viscous Fluid Cosmology with Heat Flux, Gen. Relativ. and Gravitat., Vol. 20, 103 (1988)
1988
Earlier work this paper cites.
A. Banerjee and A.K. Sanyal and S. Chakraborty, Bianchi II, VIII, and IX viscous fluid cosmology, Astrophys. Space Sc. 166, 259, (1990), arXiv:2105.10696 [gr-qc]
Original
1990
Earlier work this paper cites.
M.Visser, General Relativistic Energy Conditions: The Hubble expansion in the epoch of galaxy formation, Phys. Rev. D 56, 7578 (1997)
1997
Earlier work this paper cites.
J. Khoury, B.A. Ovrut, P.J. Steinhardt and N. Turok, The ekpyrotic universe: colliding Branes and the origin of the hot big bang Phys. Rev. D 64, 123522 (2001)
2001
Earlier work this paper cites.
P.J. Steinhardt and N. Turok, A cyclic model of the universe, Science 296, 1436 (2002)
2002
Earlier work this paper cites.
J.K. Erickson, D.H. Wesley, P.J. Steinhardt and N. Turok, Kasner and mixmaster behavior in universes with equation of state ω ≥ 1 \omega\geq 1 , Phys Rev D 69, 063514 (2004)
2004
Earlier work this paper cites.
R. Mandal, D. Saha, M. Alam and A.K. Sanyal, Probing early universe with a generalized action, Annals of Phys. 422 (2020) 168317, arXiv:2004.04332 [hep-th]
Original
2004
Earlier work this paper cites.
A. Unzicker and T. Case, Translation of Einstein’s Attempt of a Unified Field Theory with Teleparallelism, arXiv:physics/0503046v1 (2005)
2005
Earlier work this paper cites.
B.A. Ovrut, J. Khoury and E Buchbinder, Non-gaussianities in new ekpyrotic cosmology, Phys. Rev. Lett. 100, 171302 (2008)
2008
Earlier work this paper cites.
G. R. Bengochea and R. Ferraro, Dark torsion as the cosmic speed-up, Phys. Rev. D 79, 124019 (2009)
2009
Earlier work this paper cites.
E. V. Linder, Einstein’s Other Gravity and the Acceleration of the Universe, Phys. Rev. D 81, 127301 (2010)
2010
Earlier work this paper cites.
K. Bamba, C. Q. Geng and C. C. Lee, Comment on “Einstein’s Other Gravity and the Acceleration of the Universe”, arXiv:1008.4036 [astro-ph.CO] (2010)
Original
2010
Earlier work this paper cites.
S. Debnath and A.K. Sanyal, Canonical equivalence in anisotropic models for higher order theory of gravity, IJGMMP, 18, 2150058 (2021), arXiv:2010.16017 [hep-th]
Original
2010
Earlier work this paper cites.
K. Bamba, C. Q. Geng, C. C. Lee and L. W. Luo, Equation of state for dark energy in f ⁡ ( T ) f(T) gravity, JCAP, 1101, 021 (2011)
2011
Earlier work this paper cites.
B. Li, T.P. Sotiriou, J.D. Barrow, f ⁡ ( T ) f(T) gravity and local Lorentz invariance, Phys. Rev. D 83, 064035 (2011)
2011
Earlier work this paper cites.
H. Amirhashchi, Viscous dark energy in Bianchi type V spacetime, Phys. Rev. D, 96, 123507 (2017)
2017
Earlier work this paper cites.
E. Curiel, A Primer on Energy Conditions. In: Towards a Theory of Spacetime Theories. Einstein Studies, vol 13. Birkhäuser, New York, eds. D. Lehmkuhl, G. Schiemann and E, Scholz (2017)
2017
Earlier work this paper cites.
S. Debnath, S. Ruz, R. Mandal and A.K. Sanyal, History of cosmic evolution with modified Gauss–Bonnet-dilatonic coupled term, Eur. Phys. J. C. 77, 318 (2017), arXiv:1608.04669 [gr-qc]
Original
2017
Earlier work this paper cites.
R. Mandal and A.K. Sanyal, Equivalent and inequivalent canonical structures of higher order theories of gravity, Phys. Rev D 96, 084025 (2017), arXiv:1709.05201 [gr-qc]
Original
2017
Earlier work this paper cites.

Similar

J.B. Jimenez, L. Heisenberg and T. Koivisto, Coincident General Relativity, Phys. Rev. D 98, 044048 (2018)
2018
Cited alongside, same era.
H. Amirhashchi, Probing dark energy in the scope of a Bianchi type I spacetime, Phys. Rev. D, 97, 063515 (2018)
2018
Cited alongside, same era.
R. Mandal, C. Sarkar and A.K. Sanyal, Early universe with modified scalar-tensor theory of gravity, JHEP 05, 078 (2018), arXiv:1801.04056 [hep-th]
Original
2018
Cited alongside, same era.
K. Enqvist, R.J. Hardwick, T. Tenkanen, V. Venninb and D. Wands, A novel way to determine the scale of inflation, JCAP, 02, 006 (2018), arXiv:1711.07344 [astro-ph.CO]
Original
2018
Cited alongside, same era.
J. B. Jimenez, L. Heisenberg and T.S. Koivisto, The Geometrical Trinity of Gravity, Universe 5(7), 173 (2019)
2019

Then

S. Debnath and A.K. Sanyal, Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity, Class. Quantum Grav. 38, 125010 (2021), arXiv:2105.09811 [gr-qc]
Original
2021
Later among the works it cites.
R. Mandal, D. Saha, M. Alam and A.K. Sanyal, Early Universe in view of a modified theory of gravity, Class. Quantum Grav. 38, 025001 (2021), arXiv:2101.02851 [hep-th]
Original
2021
Later among the works it cites.
D. Saha, M. Alam, R. Mandal and A.K. Sanyal, Conflict between some higher-order curvature invariant terms, Nuclear Phys. B 973, 115570 (2021), arXiv:2106.06740 [gr-qc]
Original
2021
Later among the works it cites.
I. Ayuso. R. Lazkoz, V. Salzano, Observational constraints on cosmological solutions of f ⁡ ( Q ) f(Q) theories, Phys. Rev. D, 103, 063505 (2021)
2021
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

M. Krssak, R.J. van den Hoogen, J.G. Pereira, C.G. Böhmer and A.A. Coley, Teleparallel theories of gravity: illuminating a fully invariant approach, Class. Quantum Grav. 36, 183001 (2019)

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J. Lu, X. Zhao and G. Chee, Cosmology in symmetric teleparallel gravity and its dynamical system, Eur. Phys. J. C, 79, 530 (2019)

2019

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H. Amirhashchi and S. Amirhashchi, Current constraints on anisotropic and isotropic dark energy models, Phys. Rev. D 99, 023516 (2019)

2019

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T.S. Pereira and C. Pitrou, Bianchi spacetimes as supercurvature modes around isotropic cosmologies, Phys. Rev. D 100, 123534 (2019)

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A.K. Sanyal, Degenerate Hamiltonian operator in higher-order canonical gravity—The problem and a remedy, Annals of Physics 411 (2019) 167971, arXiv:1807.02769 [gr-qc]

Original

2019

Cited alongside, same era.

R. Lazkoz et al., Observational constraints of f ⁡ ( Q ) f(Q) gravity, Phys. Rev. D, 100, 104027 (2019)

2019

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S. Mandal, D. Wang and P.K. Sahoo, Cosmography in f ⁡ ( Q ) f(Q) gravity, Phys. Rev. D 102, 124029 (2020)

2020

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M. Chakrabortty, N. Sk, S. Sanyal and A.K. Sanyal, Inflation with F ⁡ ( T ) F(T) Teleparallel Gravity, Eur. Phys. J. Plus, 136, 1213 (2021), arXiv:2112.09609 [astro-ph.CO]

Original

2021

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S.A. Narawade, L. Pati, B.Mishra, S.K. Tripathy, Dynamical system analysis for accelerating models in non-metricity f ⁡ ( Q ) f(Q) gravity, Physics of the Dark Universe 36, 101020 (2022)

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D. Zhao, Covariant formulation of f ⁡ ( Q ) f(Q) theory, Eur. Phys. J. C 82, 303 (2022)

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M. Chakrabortty, K. Sarkar and A.K. Sanyal, The issue of Branchrd Hamiltonian in F ⁡ ( T ) F(T) teleparallel gravity, IJMPD, 31, 2250083, (2022), arXiv:2201.08390 [gr-qc]

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