Built on

T. Tenkanen, “Minimal Higgs inflation with an R 2 R^{2} term in Palatini gravity,” Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
A. Edery and Y. Nakayama, “Palatini formulation of pure R 2 R^{2} gravity yields Einstein gravity with no massless scalar,” Phys. Rev. D 99
Original
1902
Earlier work this paper cites.
J. Rubio and E. S. Tomberg, “Preheating in Palatini Higgs inflation,” JCAP 1904
Original
1902
Earlier work this paper cites.
R. Jinno, M. Kubota, K. y. Oda and S. C. Park, “Higgs inflation in metric and Palatini formalisms: Required suppression of higher dimensional operators,” arXiv:1904.05699 [hep-ph]
Original
1904
Earlier work this paper cites.
M. Giovannini, “Post-inflationary phases stiffer than radiation and Palatini formulation,” arXiv:1905.06182 [gr-qc]
Original
1905
Earlier work this paper cites.
T. Tenkanen and L. Visinelli, “Axion dark matter from Higgs inflation with an intermediate H ∗ H_{*} ,” JCAP 1908
Original
1906
Earlier work this paper cites.
N. Bostan, “Quadratic, Higgs and hilltop potentials in the Palatini gravity,” arXiv:1908.09674 [astro-ph.CO]
Original
1908
Earlier work this paper cites.
T. Hasegawa, N. Hiroshima, K. Kohri, R. S. L. Hansen, T. Tram and S. Hannestad, “MeV-scale reheating temperature and thermalization of oscillating neutrinos by radiative and hadronic decays of massive particles,” arXiv:1908.10189 [hep-ph]
Original
1908
Earlier work this paper cites.
T. Tenkanen, “Trans-Planckian Censorship, Inflation and Dark Matter,” arXiv:1910.00521 [astro-ph.CO]
Original
1910
Earlier work this paper cites.
C. F. Steinwachs, “Higgs field in cosmology,” arXiv:1909.10528 [hep-ph]
Original
1911
Earlier work this paper cites.
A. A. Starobinsky, “Spectrum of relict gravitational radiation and the early state of the universe,” JETP Lett. 30
1979
Earlier work this paper cites.
V. F. Mukhanov and G. V. Chibisov, “Quantum Fluctuations and a Nonsingular Universe,” JETP Lett. 33
1981
Earlier work this paper cites.
A. A. Starobinsky, “The Perturbation Spectrum Evolving from a Nonsingular Initially De-Sitter Cosmology and the Microwave Background Anisotropy,” Sov. Astron. Lett. 9
1983
Earlier work this paper cites.
V. F. Mukhanov, “Gravitational Instability of the Universe Filled with a Scalar Field,” JETP Lett. 41
1985
Earlier work this paper cites.
F. Lucchin and S. Matarrese, “Power Law Inflation,” Phys. Rev. D 32
1985
Earlier work this paper cites.
A. A. Starobinsky, “A New Type of Isotropic Cosmological Models Without Singularity,” Phys. Lett. 91B
1987
Earlier work this paper cites.
V. F. Mukhanov, Sov. Phys. JETP 67
1988
Earlier work this paper cites.
E. D. Stewart and D. H. Lyth, “A More accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation,” Phys. Lett. B 302
1993
Earlier work this paper cites.
C. Armendariz-Picon, T. Damour and V. F. Mukhanov, “k - inflation,” Phys. Lett. B 458
1999
Earlier work this paper cites.
J. Garriga and V. F. Mukhanov, “Perturbations in k-inflation,” Phys. Lett. B 458
1999
Earlier work this paper cites.
M. Kawasaki, K. Kohri and N. Sugiyama, “Cosmological constraints on late time entropy production,” Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
J. O. Gong and E. D. Stewart, “The Density perturbation power spectrum to second order corrections in the slow roll expansion,” Phys. Lett. B 510
2001
Earlier work this paper cites.
D. J. Schwarz, C. A. Terrero-Escalante and A. A. Garcia, “Higher order corrections to primordial spectra from cosmological inflation,” Phys. Lett. B 517
2001
Earlier work this paper cites.
S. M. Leach, A. R. Liddle, J. Martin and D. J. Schwarz, “Cosmological parameter estimation and the inflationary cosmology,” Phys. Rev. D 66
2002
Earlier work this paper cites.
S. Habib, K. Heitmann, G. Jungman and C. Molina-Paris, “The Inflationary perturbation spectrum,” Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
J. Martin and D. J. Schwarz, “WKB approximation for inflationary cosmological perturbations,” Phys. Rev. D 67
2003
Earlier work this paper cites.
A. R. Liddle and S. M. Leach, “How long before the end of inflation were observable perturbations produced?,” Phys. Rev. D 68
2003
Earlier work this paper cites.
S. Dodelson and L. Hui, “A Horizon ratio bound for inflationary fluctuations,” Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
S. Habib, A. Heinen, K. Heitmann, G. Jungman and C. Molina-Paris, “Characterizing inflationary perturbations: The Uniform approximation,” Phys. Rev. D 70
2004
Earlier work this paper cites.
H. Wei, R. G. Cai and A. Wang, “Second-order corrections to the power spectrum in the slow-roll expansion with a time-dependent sound speed,” Phys. Lett. B 603
2004
Earlier work this paper cites.
R. Casadio, F. Finelli, M. Luzzi and G. Venturi, “Improved WKB analysis of cosmological perturbations,” Phys. Rev. D 71
2005
Earlier work this paper cites.
R. Casadio, F. Finelli, M. Luzzi and G. Venturi, “Higher order slow-roll predictions for inflation,” Phys. Lett. B 625
2005
Earlier work this paper cites.
T. P. Sotiriou, “f(R) gravity and scalar-tensor theory,” Class. Quant. Grav. 23
2006
Earlier work this paper cites.
T. Koivisto and H. Kurki-Suonio, “Cosmological perturbations in the palatini formulation of modified gravity,” Class. Quant. Grav. 23
2006
Earlier work this paper cites.
D. I. Podolsky, G. N. Felder, L. Kofman and M. Peloso, “Equation of state and beginning of thermalization after preheating,” Phys. Rev. D 73
2006
Earlier work this paper cites.
T. P. Sotiriou and S. Liberati, “Metric-affine f(R) theories of gravity,” Annals Phys. 322
2007
Earlier work this paper cites.
M. Borunda, B. Janssen and M. Bastero-Gil, “Palatini versus metric formulation in higher curvature gravity,” JCAP 0811
Original
2008
Earlier work this paper cites.
F. Bauer and D. A. Demir, “Inflation with Non-Minimal Coupling: Metric versus Palatini Formulations,” Phys. Lett. B 665
Original
2008
Earlier work this paper cites.
L. Lorenz, J. Martin and C. Ringeval, “Constraints on Kinetically Modified Inflation from WMAP5,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
L. Lorenz, J. Martin and C. Ringeval, “K-inflationary Power Spectra in the Uniform Approximation,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.

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2019

Reheating in $R^2$ Palatini inflationary models

Gialamas, Ioannis D., Lahanas, A. B.

Understand

We consider $R^2$ inflation in the Palatini gravity assuming the existence of scalar fields, coupled to gravity in the most general manner.

These theories, in the Einstein frame, and for one scalar field $h$, share common features with $K$ - inflation models.
We apply this formalism for the study of popular inflationary models, whose potentials are monomials, $ V \sim h^{n} $, with $ n $ a positive even integer.
We also study the Higgs model non-minimally coupled to gravity.

Built on

T. Tenkanen, “Minimal Higgs inflation with an R 2 R^{2} term in Palatini gravity,” Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
A. Edery and Y. Nakayama, “Palatini formulation of pure R 2 R^{2} gravity yields Einstein gravity with no massless scalar,” Phys. Rev. D 99
Original
1902
Earlier work this paper cites.
J. Rubio and E. S. Tomberg, “Preheating in Palatini Higgs inflation,” JCAP 1904
Original
1902
Earlier work this paper cites.
R. Jinno, M. Kubota, K. y. Oda and S. C. Park, “Higgs inflation in metric and Palatini formalisms: Required suppression of higher dimensional operators,” arXiv:1904.05699 [hep-ph]
Original
1904
Earlier work this paper cites.
M. Giovannini, “Post-inflationary phases stiffer than radiation and Palatini formulation,” arXiv:1905.06182 [gr-qc]
Original
1905
Earlier work this paper cites.
T. Tenkanen and L. Visinelli, “Axion dark matter from Higgs inflation with an intermediate H ∗ H_{*} ,” JCAP 1908
Original
1906
Earlier work this paper cites.
N. Bostan, “Quadratic, Higgs and hilltop potentials in the Palatini gravity,” arXiv:1908.09674 [astro-ph.CO]
Original
1908
Earlier work this paper cites.
T. Hasegawa, N. Hiroshima, K. Kohri, R. S. L. Hansen, T. Tram and S. Hannestad, “MeV-scale reheating temperature and thermalization of oscillating neutrinos by radiative and hadronic decays of massive particles,” arXiv:1908.10189 [hep-ph]
Original
1908
Earlier work this paper cites.
T. Tenkanen, “Trans-Planckian Censorship, Inflation and Dark Matter,” arXiv:1910.00521 [astro-ph.CO]
Original
1910
Earlier work this paper cites.
C. F. Steinwachs, “Higgs field in cosmology,” arXiv:1909.10528 [hep-ph]
Original
1911
Earlier work this paper cites.
A. A. Starobinsky, “Spectrum of relict gravitational radiation and the early state of the universe,” JETP Lett. 30
1979
Earlier work this paper cites.
V. F. Mukhanov and G. V. Chibisov, “Quantum Fluctuations and a Nonsingular Universe,” JETP Lett. 33
1981
Earlier work this paper cites.
A. A. Starobinsky, “The Perturbation Spectrum Evolving from a Nonsingular Initially De-Sitter Cosmology and the Microwave Background Anisotropy,” Sov. Astron. Lett. 9
1983
Earlier work this paper cites.
V. F. Mukhanov, “Gravitational Instability of the Universe Filled with a Scalar Field,” JETP Lett. 41
1985
Earlier work this paper cites.
F. Lucchin and S. Matarrese, “Power Law Inflation,” Phys. Rev. D 32
1985
Earlier work this paper cites.
A. A. Starobinsky, “A New Type of Isotropic Cosmological Models Without Singularity,” Phys. Lett. 91B
1987
Earlier work this paper cites.
V. F. Mukhanov, Sov. Phys. JETP 67
1988
Earlier work this paper cites.
E. D. Stewart and D. H. Lyth, “A More accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation,” Phys. Lett. B 302
1993
Earlier work this paper cites.
C. Armendariz-Picon, T. Damour and V. F. Mukhanov, “k - inflation,” Phys. Lett. B 458
1999
Earlier work this paper cites.
J. Garriga and V. F. Mukhanov, “Perturbations in k-inflation,” Phys. Lett. B 458
1999
Earlier work this paper cites.
M. Kawasaki, K. Kohri and N. Sugiyama, “Cosmological constraints on late time entropy production,” Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
J. O. Gong and E. D. Stewart, “The Density perturbation power spectrum to second order corrections in the slow roll expansion,” Phys. Lett. B 510
2001
Earlier work this paper cites.
D. J. Schwarz, C. A. Terrero-Escalante and A. A. Garcia, “Higher order corrections to primordial spectra from cosmological inflation,” Phys. Lett. B 517
2001
Earlier work this paper cites.
S. M. Leach, A. R. Liddle, J. Martin and D. J. Schwarz, “Cosmological parameter estimation and the inflationary cosmology,” Phys. Rev. D 66
2002
Earlier work this paper cites.
S. Habib, K. Heitmann, G. Jungman and C. Molina-Paris, “The Inflationary perturbation spectrum,” Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
J. Martin and D. J. Schwarz, “WKB approximation for inflationary cosmological perturbations,” Phys. Rev. D 67
2003
Earlier work this paper cites.
A. R. Liddle and S. M. Leach, “How long before the end of inflation were observable perturbations produced?,” Phys. Rev. D 68
2003
Earlier work this paper cites.
S. Dodelson and L. Hui, “A Horizon ratio bound for inflationary fluctuations,” Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
S. Habib, A. Heinen, K. Heitmann, G. Jungman and C. Molina-Paris, “Characterizing inflationary perturbations: The Uniform approximation,” Phys. Rev. D 70
2004
Earlier work this paper cites.
H. Wei, R. G. Cai and A. Wang, “Second-order corrections to the power spectrum in the slow-roll expansion with a time-dependent sound speed,” Phys. Lett. B 603
2004
Earlier work this paper cites.
R. Casadio, F. Finelli, M. Luzzi and G. Venturi, “Improved WKB analysis of cosmological perturbations,” Phys. Rev. D 71
2005
Earlier work this paper cites.
R. Casadio, F. Finelli, M. Luzzi and G. Venturi, “Higher order slow-roll predictions for inflation,” Phys. Lett. B 625
2005
Earlier work this paper cites.
T. P. Sotiriou, “f(R) gravity and scalar-tensor theory,” Class. Quant. Grav. 23
2006
Earlier work this paper cites.
T. Koivisto and H. Kurki-Suonio, “Cosmological perturbations in the palatini formulation of modified gravity,” Class. Quant. Grav. 23
2006
Earlier work this paper cites.
D. I. Podolsky, G. N. Felder, L. Kofman and M. Peloso, “Equation of state and beginning of thermalization after preheating,” Phys. Rev. D 73
2006
Earlier work this paper cites.
T. P. Sotiriou and S. Liberati, “Metric-affine f(R) theories of gravity,” Annals Phys. 322
2007
Earlier work this paper cites.
M. Borunda, B. Janssen and M. Bastero-Gil, “Palatini versus metric formulation in higher curvature gravity,” JCAP 0811
Original
2008
Earlier work this paper cites.
F. Bauer and D. A. Demir, “Inflation with Non-Minimal Coupling: Metric versus Palatini Formulations,” Phys. Lett. B 665
Original
2008
Earlier work this paper cites.
L. Lorenz, J. Martin and C. Ringeval, “Constraints on Kinetically Modified Inflation from WMAP5,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
L. Lorenz, J. Martin and C. Ringeval, “K-inflationary Power Spectra in the Uniform Approximation,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.