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A New Global 1-form in Lyra Geometric Cosmos Model

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Abstract

Dark energy phenomena has inspired lots of investigations on the cosmological constant problems. In order to understand its origin and properties as well as its impacts on universe’s evolutions, there are many approaches to modify the well-known General Relativity, such as the Weyl-Lyra Geometry. In the well studied cosmology model within Lyra geometry, there is a problem that the first law of thermodynamics is violated. To unravel this issue, if we use the effective density and pressure in the Lyra cosmology model to preserve the first law of thermodynamics in the cosmos, the former 1-form (β,0,0,0) cannot give a proper vacuum behavior. In this paper, the auxiliary 1-form is modified to overcome this difficulty. It can be shown that the complex terms in the field equation derived from the regime of Lyra Geometric \(\frac {3}{2}{\phi }^{\mu }{\phi }_{\nu }-\frac {3}{4}{\delta }^{\mu }_{\nu }{\phi }^{\alpha }{\phi }_{\alpha }\) with our new 1-form could behave just as the cosmological constant. This work can be regarded as a new exploration on a possible origin of the cosmological constant from a Lyra cosmology model.

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Acknowledgments

We would like to express our gratitude to Sanjoy Kumar Routh, a graduate student presently at the ’S N Bose National Centre for Basic Sciences’ from India, for his pointing out a minor mistake to us in our calculations. This work is partly supported by Natural Science Foundation of China under Grant Nos.11075078 and 10675062, and by the project of knowledge Innovation Program (PKIP) of Chinese Academy of Sciences (CAS) under the grant No. KJCX2.YW.W10 through the KITPC astrophysics and cosmology programm where we have initiated this present work.

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Authors and Affiliations

  1. Department of Physics, Nankai University, Tianjin, 300071, Peoples’s Republic of China

    Haizhao Zhi, Xin-He Meng & Lianzhong Zhang

  2. Chern Institute of Mathematics, Nankai University, Tianjin, 300071, China

    Mengjiao Shi

  3. State Key Laboratory of ITP, CAS, Beijing, 100190, People’s Republic of China

    Xin-He Meng

  4. Kavli Institute of Theoretical Physics China, CAS, Beijing, 100190, People’s Republic of China

    Xin-He Meng

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  1. Haizhao Zhi
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  2. Mengjiao Shi
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  3. Xin-He Meng
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  4. Lianzhong Zhang
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Correspondence to Xin-He Meng.

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Zhi, H., Shi, M., Meng, XH. et al. A New Global 1-form in Lyra Geometric Cosmos Model. Int J Theor Phys 53, 4002–4011 (2014). https://doi.org/10.1007/s10773-014-2151-4

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  • DOI: https://doi.org/10.1007/s10773-014-2151-4

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