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Abstract

This paper introduces the Wheeler-Dewitt (W-D) equation in the five-dimensional R+R2 theory of gravity, and gets solutions of the W-D equation by separation of variables. Using the Kaluza-Klein theory, the Robertson-Walker metric is extended to the five-dimensional spacetime. With the field equations of the spacetime, the relationship between energy and the cosmological term can be obtained.

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[1]	Guo Jia-Ming, Xue Xun.Quantum scattering of fermion by gravitational field with Kerr metric. Acta Physica Sinica, 2022, 71(21): 210401.doi:10.7498/aps.71.20220876
[2]	Wang Can-Can.Quantum entanglement and cosmological Friedmann equations. Acta Physica Sinica, 2018, 67(17): 179501.doi:10.7498/aps.67.20180813
[3]	Zhang Wei-Hong, Niu Zhong-Ming, Wang Feng, Gong Xiao-Bo, Sun Bao-Hua.Uncertainties of nucleo-chronometers from nuclear physics inputs. Acta Physica Sinica, 2012, 61(11): 112601.doi:10.7498/aps.61.112601
[4]	Bian Bao-Min, Lai Xiao-Ming, Yang Ling, Li Zhen-Hua, He An-Zhi.Variable space scale factor spherical coordinates and time-space metric. Acta Physica Sinica, 2012, 61(8): 080401.doi:10.7498/aps.61.080401
[5]	Lin Kai, Yang Shu-Zheng.Fermion tunnels at cosmological horizon of higher dimensional de Sitter space time. Acta Physica Sinica, 2010, 59(4): 2223-2227.doi:10.7498/aps.59.2223
[6]	Chen Guang.The geometric structure of Friedmann universe in the discrete spacetime and its properties. Acta Physica Sinica, 2008, 57(6): 3299-3304.doi:10.7498/aps.57.3299
[7]	Wu Ya-Bo, Lü Jian-Bo, Li Song, Yang Xiu-Yi.The evolution of the reconstructing five-dimensional cosmological model with a big bounce. Acta Physica Sinica, 2008, 57(4): 2621-2626.doi:10.7498/aps.57.2621
[8]	Chen Guang.A singularity-free solution of Friedmann universe in the discrete spacetime. Acta Physica Sinica, 2005, 54(7): 2977-2979.doi:10.7498/aps.54.2977
[9]	ZHAO REN, LIU LIAO.THE REACTION TO THE SCHWARZSCHILD SPACE-TIME BY THE HAWKING EVAPORATION. Acta Physica Sinica, 1998, 47(12): 2074-2078.doi:10.7498/aps.47.2074
[10]	ZHU SHI-TONG, SHEN WEN-DA.OPTICAL METRIC DESCRIPTION OF A STRONG LASER-PLASMA. Acta Physica Sinica, 1993, 42(9): 1438-1442.doi:10.7498/aps.42.1438
[11]	LI JIAN-ZENG.HIGHER DIMENSIONAL VAIDYA-LIKE SPACE-TIME WITH ELECTROMAGNETIC FIELDS AND COSMOLOGICAL CONSTANT. Acta Physica Sinica, 1992, 41(9): 1389-1395.doi:10.7498/aps.41.1389
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[14]	Huang Chao-guang, Wang Yong-cheng.SPACE-TIME STRUCTURE OF THE SUPERPOSITION OF TWO CO-LINEAR KERR BLACK HOLES'METRICS. Acta Physica Sinica, 1986, 35(10): 1322-1329.doi:10.7498/aps.35.1322
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[16]	GUI YUAN-XING, ZHANG JI-GUANG, ZHANG YANG, CHEN FANG-PEI.A DIRECT DERIVATION OF THE KERR-NEWMAN METRIC. Acta Physica Sinica, 1984, 33(8): 1129-1136.doi:10.7498/aps.33.1129
[17]	ZHANG SHI-WEI, SU RU-KENG.THE BOSON BOUND STATES IN KERR METRIE. Acta Physica Sinica, 1982, 31(3): 311-317.doi:10.7498/aps.31.311
[18]	WANG YONG-JIU, TANG ZHI-MING.REVISION OF KASNER METRIC BY VGM-GRAVITATION THEORY. Acta Physica Sinica, 1981, 30(12): 1713-1716.doi:10.7498/aps.30.1713
[19]	XU ZHONG-MIN, ZHU SHI-CHANG.GRAVITATIONAL MASS DEFECT IN REISSNER-NORDSTR?M METRIC (WITH CONSERVATION OF CHARGE). Acta Physica Sinica, 1980, 29(5): 667-672.doi:10.7498/aps.29.667
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Vol. 59, Issue 6 - 2010-03-20

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