We review black-hole solutions of higher-dimensional vacuum gravity and higher-
dimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with …

This review is dedicated to some modern applications of the remarkable paper written in
1918 by E. Noether. On a single paper, Noether discovered the crucial relation between …

We study asymptotically flat spacetimes in five spacetime dimensions by Hamiltonian
methods, focusing on spatial infinity and keeping all asymptotically relevant nonlinearities in …

We first use the Hamilton–Jacobi method to describe the motion in curved spacetime of a
scalar particle and a fermion, which are shown to satisfy the same Hamilton–Jacobi …

We give a detailed review of construction of conserved quantities in extended theories of
gravity for asymptotically maximally symmetric spacetimes and carry out explicit …

We first obtain the $ D $-dimensional asymptotically AdS charged black hole solution in
general nonlinear electrodynamics (NLED). We then use the Hamilton-Jacobi method to …

Arbitrary diffeomorphically invariant metric-torsion theories of gravity are considered. It is
assumed that Lagrangians of such theories contain derivatives of field variables (tensor …

A definition of asymptotic flatness at spatial infinity in d dimensions (d≥ 4) is given using the
conformal completion approach. Then we discuss asymptotic symmetry and conserved …

In this note, the off-shell generalized Abbott–Deser–Tekin (ADT) formalism is applied to
explore the mass of Kerr–anti-de Sitter (Kerr–AdS) black holes in various dimensions within …

Affine gravity and the Palatini formalism contribute both to produce a simple and unique
formula for calculating charges at spatial and null infinity for Lovelock type Lagrangians …