论文标题
palatini的差异原理和边界项
Variational principle and boundary terms in gravity à la Palatini
论文作者
论文摘要
在Palatini形式主义中考虑了一般$ f(\ Mathcal {r})$引力理论。通过在边界上应用变异原理和通常的条件,我们明确地表明,表面术语仍然存在,使得像在公制兼容的对应物中一样,必须在重力作用中添加附加的表面项,在计算黑洞的熵时起着基本作用。
A general $f(\mathcal{R})$ gravitational theory is considered within the Palatini formalism. By applying the variational principle and the usual conditions on the boundary, we show explicitly that a surface term remains such that as in their metric-compatible counterparts, an additional surface term has to be added in the gravitational action, which plays a fundamental role when calculating the entropy of the black hole.