Einstein Hilbert Action的Mond程序
A Mond Programme from Einstein Hilbert Action
摘要:
在爱因斯坦方程的通常推导中,表面项被忽略了。霍金\cite{hw}给出了保持所有表面项的引力哈密顿量的推导。Easson等人的\cite{ea}利用这些表面项对Friedmann方程进行了修正,并利用修正后的Friedmann方程解释了宇宙加速。我们研究了表面项在星系尺度上的作用,发现修正的Friedmann方程的经典极限将导致MOND类加速项。
英文摘要:
In the usual derivation of Einstein's equation from action, the surface terms are neglected. Hawking \cite{hw} gave a derivation of the gravitational Hamiltonian keeping all surface terms. Using such surface terms Easson et.al.\cite{ea} showed that Friedmann equation could get modified and using the modified Friedmann equation they could explain the cosmic acceleration. We study the effect of surface terms on a galactic scale and find that the classical limit of the modified Friedmann equation will lead to a MOND like acceleration term.
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