Lorentz symmetry violation and accelerated expansion of the universe
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摘要: 1998年的超新星观测表明当今宇宙正在加速膨胀. 暗能量是指宇宙加速膨胀的宇宙介质. 正的宇宙学常数Λ是暗能量的重要候选者, 但导致宇宙加速膨胀的原因并非Λ莫属. 洛伦兹不变性是物理学最严格的对称性之一, 然而所有的量子引力理论都预言了洛伦兹对称性的破缺. 基于大尺度洛伦兹破缺(Large-Scale Lorentz Violation, LSLV)的宇宙学模型, 讨论了有效引力理论修正的Friedmann方程, 由此可以得到, 大尺度上的洛伦兹破缺和宇宙学常数项的综合效应会产生后期观测到的宇宙加速膨胀.Abstract: The supernova observations of 1998 show that the universe is accelerating and expanding. Dark energy refers to the cosmic content of the universe's accelerated expansion. The positive cosmological constant Λ is an important factor for dark energy, but the cause of the accelerated expansion of the universe is not Λ. Lorentz invariance is the most accurate symmetry in nature, but all quantum gravitational theories predict the breakup of Lorentz symmetry. Based on the cosmological model of a large-scale Lorentz violation(LSLV), the Friedmann equation modified by effective gravitational theory is discussed and the effect of a large-scale Lorentz violation combined with a cosmological constant term can produce the observed acceleration of the universe.
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Key words:
- accelerating expansion of the universe /
- Lorentz violation /
- dark energy
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图 1
${\cal{K}}\left( {{t_0}} \right) = {H_0}\left( {\sqrt {1 - \frac{{\Lambda - {\Lambda _0}}}{{3{H_0^2}}}} - 1} \right)$ , 当${\Lambda _0}$ 取不同值时哈勃常数随宇宙时的演化Fig. 1
${\cal{K}}\left( {{t_0}} \right) = {H_0}\left( {\sqrt {1 - \frac{{\Lambda - {\Lambda _0}}}{{3{H_0^2}}}} - 1} \right)$ , the Hubble constant evolves with time when${\Lambda _0}$ takes different values图 2
${\cal{K}}\left( {{t_0}} \right) = - {H_0}\left( {\sqrt {1 - \frac{{\Lambda - {\Lambda _0}}}{{3{H_0^2}}}} {\rm{ + }}1} \right)$ , 当${\Lambda _0}$ 取不同值时哈勃常数随宇宙时的演化Fig. 2
${\cal{K}}\left( {{t_0}} \right) = - {H_0}\left( {\sqrt {1 - \frac{{\Lambda - {\Lambda _0}}}{{3{H_0^2}}}} {\rm{ + }}1} \right)$ , the Hubble constant evolves with time when${\Lambda _0}$ takes different values -
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