Fine tuning problem of the cosmological constant in a generalized Randall-Sundrum model |
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Authors: | Guang-Zhen Kang De-Sheng Zhang Li Jun Hong-Shi Zong |
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Institution: | 1. School of Science, Yangzhou Polytechnic Institute, Yangzhou 225127, China2. Department of Physics, Nanjing University, Nanjing 210093, China3. School of Science, Changzhou Institute of Technology, Changzhou 213032, China4. Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China5. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing 100190, China |
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Abstract: | To solve the cosmological constant fine tuning problem, we investigate an \begin{document}$(n+1)$\end{document}![]() -dimensional generalized Randall-Sundrum brane world scenario with two \begin{document}$(n-1)$\end{document}![]() -branes instead of two 3-branes. Adopting an anisotropic metric ansatz, we obtain the positive effective cosmological constant \begin{document}$\Omega_{\rm eff}$\end{document}![]() of order \begin{document}$10^{-124}$\end{document}![]() and only require a solution \begin{document}$\simeq50-80$\end{document}![]() . Meanwhile, both the visible and hidden branes are stable because their tensions are positive. Therefore, the fine tuning problem can be solved quite well. Furthermore, the Hubble parameter \begin{document}$H_{1}(z)$\end{document}![]() as a function of redshift \begin{document}$z$\end{document}![]() is in good agreement with the cosmic chronometers dataset. The evolution of the universe naturally shifts from deceleration to acceleration. This suggests that the evolution of the universe is intrinsically an extra-dimensional phenomenon. It can be regarded as a dynamic model of dark energy that is driven by the evolution of the extra dimensions on the brane. |
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Keywords: | cosmological constant fine tuning extra dimensions Hubble parameter |
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