In this work, we present a convenient method to perform the topological analysis of black hole thermodynamics. Utilizing spinodal curve, thermodynamic critical points are endowed with quantity, Brouwer degree, which reflects intrinsic properties system under smooth deformations. Specially, in our setup, it can be easily calculated without exact solution points. This enables us conveniently inve...

Abstract Based on the insight gained by many authors over years structure of Einstein–Hilbert, Gauss–Bonnet and Lovelock gravity Lagrangians, we show how to derive-in an elementary fashion-their first-order, generalized ‘Arnowitt–Deser–Misner’ Lagrangian associated Hamiltonian. To do so, start from supplemented with Myers boundary term, which guarantees a Dirichlet variational principle surface...

M. H. Dehghani N. Bostani Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, Iran Research Institute for Astrophysics and Astronomy of Maragha (RIAAM), Maragha, Iran Abstract We obtain two new classes of magnetic brane solutions in third order Lovelock gravity. The first class of solutions yields an (n + 1)-dimensional spacetime with a longitudinal ...

We perform a space-time analysis of the D > 4 quadratic curvature Lanczos-Lovelock (LL) model, exhibiting its dependence on intrinsic/extrinsic curvatures, lapse and shifts. As expected from general covariance, the field equations include D constraints, of zeroth and first time derivative order. In the “linearized” – here necessarily cubic – limit, we give an explicit formulation in terms of th...