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arXiv 1011.6151gr-qc
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在k-本质和突现引力背景下的整体量子度规的Hawking温度

Hawking temperature for a global monopole metric in the context of k- essence and emergent gravity

Debashis Gangopadhyay, Goutam Manna

摘要:

Barriola-Vilenkin整体量子度规的霍金温度为$T_{\mathrm BV}= {\hbar (1-α) ^{2}\over8πGM k_{\mathrm B}}$,其中$α$是整体量子电荷,$M$是黑洞的质量,$k_{\mathrm B}$是玻耳兹曼常量和光速$c=1$。然后,我们表明,类似的度量也可以获得某些$k-$本质场配置在紧急重力的情况。因此,在\it等人最近在引力模拟实验中证明光子自发发射的背景下,任何未来对$T_{\mathrm BV}$的观测都不一定意味着全局单极子的存在。另一种可能的含义也可能是暗能量在紧急引力场景中的一个非常间接的特征。这将导致可以在改进和修改版本的Alzheorno { \it et al}实验中检测到的效应。

英文摘要:

The Hawking temperature for the Barriola-Vilenkin global monopole metric is shown to be $T_{\mathrm BV}= {\hbar (1-α) ^{2}\over8πGM k_{\mathrm B}}$, where $α$ is the global monopole charge,$M$ the mass of the black hole, $k_{\mathrm B}$ is the Boltzmann constant and speed of light $c=1$. We then show that a similar metric can also be obtained for certain $k-$ essence field configurations in an emergent gravity situation. Therefore, in the context of Belgiorno {\it et al's} recent demonstration of spontaneous emission of photons in a gravitational analogue experiment, any future observation of $T_{\mathrm BV}$ need not necessarily imply the existence of global monopoles. An alternative implication might as well be a very indirect signature of dark energy in an emergent gravity scenario. This should lead to effects that may be detectable in refined and modified versions of Belgiorno {\it et al's} experiment.

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