摘要
We propose a new holographic program of gravity in which we introduce a surface stress tensor.Our proposal differs from Verlinde's in several aspects.First,we use an open or a closed screen.Second,the temperature is not necessary,but a surface energy density and pressure are introduced.The surface stress tensor is proportional to the extrinsic curvature.Third,the energy we use is Brown-York energy and the equipartition theorem is violated by a non-vanishing surface pressure.We discuss holographic thermodynamics of a gas of weak gravity and find a chemical potential,and then show that Verlinde's program does not lead to reasonable thermodynamics.The holographic entropy is similar to the Bekenstein entropy bound.
We propose a new holographic program of gravity in which we introduce a surface stress tensor. Our proposal differs from Verlinde＇s in several aspects. First, we use an open or a closed screen. Second, the temperature is not necessary, but a surface energy density and pressure are introduced. The surface stress tensor is proportional to the extrinsic curvature. Third, the energy we use is Brown-York energy and the equipartition theorem is violated by a non-vanishing surface pressure. We discuss holographic thermodynamics of a gas of weak gravity and find a chemical potential, and then show that Verlinde＇s program does not lead to reasonable thermodynamics. The holographic entropy is similar to the Bekenstein entropy bound.
基金
supported by the National Natural Science Foundation of China (Grant Nos.10535060/A050207,10975172 and 10821504)
the National Basic Research Program of China (Grant No.2007CB815401)
