Constraints from Type Ia supernovae on the Λ-CDM model in Randers-Finsler space

CHANG Zhe; LI Ming-Hua; LI Xin

doi:10.1088/1674-1137/36/8/005

Chinese Physics C> 2012, Vol. 36> Issue(8) : 710-715 DOI: 10.1088/1674-1137/36/8/005

Constraints from Type Ia supernovae on the Λ-CDM model in Randers-Finsler space

Abstract
HTML
Reference
Related

PDF

Abstract：
Gravitational field equations in Randers-Finsler space of approximate Berwald type are investigated. A modified Friedmann equation and a new luminosity distance-redshift relation is proposed. A best-fit to the Type Ia supernovae (SNe) observations yields that the Ω_Λ in the Λ-CDM model is suppressed to almost zero. This fact indicates that the astronomical observations on the Type Ia SNe can be described well without invoking any form of dark energy. The best-fit age of the universe is given. It is in agreement with the age of our galaxy.

References

[1]

Hubble E. Proceedings of the National Academy of Sciences of the United States of America, 1929, 15: 168[2] Riess A et al. Astron. J, 1998, 116: 1009; Astron. J, 1999, 117: 707[3] Perlmutter S et al. Astrophys J., 1999, 517: 565[4] Bennett C et al. Astrophys J. Suppl., 2003, 148: 1[5] Kowalski M et al. Astrophys. J., 2008, 686: 749[6] Copeland E et al. Int. J. Mod. Phys. D, 2006, 15: 1753[7] Ratra B, Peebles J. Phys. Rev. D, 1988, 37: 321[8] Fujii Y. Phys. Rev. D, 1982, 26: 2580; Ford L H. Phys. Rev. D, 1987, 35: 2339; Fujii Y, Nishioka T. Phys. Rev. D, 1990, 42: 361; Chiba T, Sugiyama N, Nakamuran T. Mon. Not. Roy. Astron. Soc., 1997, 289: L5[9] Carroll S. Phys. Rev. Lett., 1998, 81: 3067[10] Capozziello S, Carloni S, Troisi A. arXiv:astro-ph/0303041; Capozziello S, Cardone V, Carloni S, Troisi A. Int. J. Mod. Phys. D, 2003, 12: 1969[11] Carroll S, Duvvuri V, Trodden M, Turner M. Phys. Rev. D, 2004, 70: 043528[12] Nojiri S, Odintsov S D. arXiv:hep-th/0601213[13] Steinhardt P. Critical Problems in Physics. Edited by Fitch V L, Marlow D R. Princeton: Princeton University Press, NJ, 1997[14] Takano Y. Lett. Nuovo Cimento, 1974, 10: 747[15] Tavakol R K, Van Den Bergh N. Phys. Lett. A, 1985, 112: 23[16] Bogoslovsky G Yu. Phys. Part. Nucl., 1993,24: 354[17] Asanov G. Finsler Geometry, Relativity and Gauge Theories. Dordrecht: Reidel Pub.Com., 1985[18] Asanov G. Annalen der Physik, 1987, 44: 1[19] Asanov G, Kiselev M. Rep. Math. Phys., 1998, 26: 401[20] Ikeda S. J. Math. Phys., 1985, 26: 958[21] Ikeda S. Annalen der Physik, 1989, 46: 173[22] Beil R. Int. J. Theor. Phys., 1991, 30: 1663[23] Beil R. Int. J. Theor. Phys., 1992, 31: 1025[24] LI X, CHANG Z. Chin. Phys. C (HEP NP), 2010, 34: 28[25] CHANG Z, LI X. Phys. Lett. B, 2008, 668: 453[26] CHANG Z, LI X. Phys. Lett. B, 2009, 676: 173[27] BAO D, Chern S S, SHEN Z. An Introduction to Riemann-Finsler Geometry, Graduate Texts in Mathmatics 200. New York: Springer, 2000[28] Chern S S. Sci. Rep. Nat. Tsing Hua Univ. Ser. A, 1948, 5: 95; Selected Papers, vol. II, 194, New York: Springer, 1989[29] Akbar-Zadeh H. Acad. Roy. Belg. Bull. Cl. Sci. (5), 1988, 74: 281[30] Randers G. Phys. Rev., 1941, 59: 195[31] Kikuchi S. Tensor, N.S., 1979, 33: 242[32] Carroll S. Living Rev. Relativity, 2001, 4: 1[33] Lewis A. Phys. Rev. D, 2002, 66: 103511[34] Spergel D et al. Astrophys. J. Suppl., 2007, 170: 377[35] Schramm D. In: Astrophysical Ages and Dating Methods. edited by Vangioni-Flam E et al. Gif sur Yvette: Edition Frontieres: Paris, 1989[36] Truran J. In: The Extragalactic Distance Scale. Edited by Livio M, Donahue M, Panagia N. Cambridge: Cambridge University Press, 1997. 18[37] Oswalt T, Smith J, Wood M, Hintzen P. Nature, 1996, 382: 692[38] Bergeron J et al. Astrophys. J. Suppl., 1997, 108: 339

[1]	Lijia Liu , Haoxue Qiao , Kun Wang , Jingya Zhu . A light scalar in the Minimal Dilaton Model in light of the LHC constraints. Chinese Physics C, 2019, 43(2): 023104. doi: 10.1088/1674-1137/43/2/023104
[2]	Hai-Nan Lin , Xin Li , Li Tang . Non-parametric reconstruction of dark energy and cosmic expansion from the Pantheon compilation of type Ia supernovae. Chinese Physics C, 2019, 43(7): 075101. doi: 10.1088/1674-1137/43/7/075101
[3]	Jin-Jun Zhang , Chung-Chi Lee , Chao-Qiang Geng . Observational constraints on running vacuum model. Chinese Physics C, 2019, 43(2): 025102. doi: 10.1088/1674-1137/43/2/025102
[4]	D. N. Makarov , V. I. Matveev . New-type internal target for structural ion stripping. Chinese Physics C, 2018, 42(1): 017001. doi: 10.1088/1674-1137/42/1/017001
[5]	Hai-Nan Lin , Xin Li , Yu Sang . Local probes strongly favor ∧CDM against power-law and R_h=ct universe. Chinese Physics C, 2018, 42(9): 095101. doi: 10.1088/1674-1137/42/9/095101
[6]	Jing-Jing Liu , Qiu-He Peng , Dong-Mei Liu . Strongly screening electron capture for nuclides ^{52, 53, 59, 60}Fe by the Shell-Model Monte Carlo method in pre-supernovae. Chinese Physics C, 2017, 41(9): 095101. doi: 10.1088/1674-1137/41/9/095101
[7]	Ying Li , Dan-Dan Wang , Cai-Dian Lü . Pure annihilation type B→K0±(1430)K()^干 decays in the family non-universal Z0 model. Chinese Physics C, 2016, 40(1): 013101. doi: 10.1088/1674-1137/40/1/013101
[8]	GUO Xing-Dao , FENG Tai-Fu , ZHAO Shu-Min , KE Hong-Wei , LI Xue-Qian . Constraining parameter space of the little Higgs model using data from tera-Z factory and ILC. Chinese Physics C, 2015, 39(2): 023103. doi: 10.1088/1674-1137/39/2/023103
[9]	S. S. Hosseini , S. Zarrinkamar . Dirac oscillator in noncommutative space. Chinese Physics C, 2014, 38(6): 063104. doi: 10.1088/1674-1137/38/6/063104
[10]	ZHANG Xu-Ning . Constraints of gravitational baryo/leptogenesis on Cardassian expansion. Chinese Physics C, 2011, 35(10): 920-924. doi: 10.1088/1674-1137/35/10/006
[11]	LI Xin , CHANG Zhe , MO Xiao-Huan . Symmetries in a very special relativity and isometric group of Finsler space. Chinese Physics C, 2011, 35(6): 535-538. doi: 10.1088/1674-1137/35/6/004
[12]	LI Xin , CHANG Zhe . Kinematics in Randers-Finsler geometry and secular increase of the astronomical unit. Chinese Physics C, 2011, 35(10): 914-919. doi: 10.1088/1674-1137/35/10/005
[13]	REN Yan-Yu , Efaaf M , ZHANG Wei-Ning . Inhomogeneous space-time structure and two-pion interferometry in NEXSPHERIO model. Chinese Physics C, 2010, 34(4): 472-478. doi: 10.1088/1674-1137/34/4/010
[14]	REN Ping , XING Zhi-Zhong . Lepton-number-violating decays of singly-charged Higgs bosons in the type-(Ⅰ+Ⅱ) seesaw model. Chinese Physics C, 2010, 34(4): 433-443. doi: 10.1088/1674-1137/34/4/003
[15]	DONG Yu-Bing . Pion charge form factor and constraints from space-time translations. Chinese Physics C, 2010, 34(9): 1342-1345. doi: 10.1088/1674-1137/34/9/038
[16]	LI Xin , CHANG Zhe . Towards a gravitation theory in Berwald-Finsler space. Chinese Physics C, 2010, 34(1): 28-34. doi: 10.1088/1674-1137/34/1/005
[17]	HUANG Fei . Forward pion-nucleon charge exchange reaction and Regge constraints. Chinese Physics C, 2009, 33(12): 1318-1321. doi: 10.1088/1674-1137/33/12/045
[18]	Marc Richard , Xavier Artru , Mokhtar Elchikh , Jacques Soffer , Oleg Teryaev . Model-independent constraints on spin observables. Chinese Physics C, 2009, 33(12): 1153-1158. doi: 10.1088/1674-1137/33/12/017
[19]	CHANG Zhe , LI Xin . Ultra-high energy cosmic rays threshold in Randers-Finsler space. Chinese Physics C, 2009, 33(8): 626-628. doi: 10.1088/1674-1137/33/8/005
[20]	LAI Xiang-Jun , LUO Zhi-Quan , LIU Hong-Lin . Effect of current quark masses on quark phase transitions in supernovae. Chinese Physics C, 2008, 32(6): 428-432. doi: 10.1088/1674-1137/32/6/003

Access

Get Citation

CHANG Zhe, LI Ming-Hua and LI Xin. Constraints from Type Ia supernovae on the Λ-CDM model in Randers-Finsler space[J]. Chinese Physics C, 2012, 36(8): 710-715. doi: 10.1088/1674-1137/36/8/005

CHANG Zhe, LI Ming-Hua and LI Xin. Constraints from Type Ia supernovae on the Λ-CDM model in Randers-Finsler space[J]. Chinese Physics C, 2012, 36(8): 710-715. doi: 10.1088/1674-1137/36/8/005 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2011-12-08
Revised: 2012-02-24

Article Metric

Article Views(2144)
PDF Downloads(265)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Constraints from Type Ia supernovae on the Λ-CDM model in Randers-Finsler space

Corresponding author: LI Ming-Hua,

Received Date: 2011-12-08

Accepted Date: 2012-02-24

Available Online: 2012-08-05

Abstract: Gravitational field equations in Randers-Finsler space of approximate Berwald type are investigated. A modified Friedmann equation and a new luminosity distance-redshift relation is proposed. A best-fit to the Type Ia supernovae (SNe) observations yields that the Ω_Λ in the Λ-CDM model is suppressed to almost zero. This fact indicates that the astronomical observations on the Type Ia SNe can be described well without invoking any form of dark energy. The best-fit age of the universe is given. It is in agreement with the age of our galaxy.

HTML

Reference (1)

Constraints from Type Ia supernovae on the Λ-CDM model in Randers-Finsler space

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article