ABSTRACT In this paper, we analyze the existence of Weyl distance in general metric and various classes multi-dimensional p -almost periodic functions metric. The main structural properties for introduced almost type are established. We also provide some applications our theoretical results to abstract Volterra integro-differential equations.

We investigate the behavior of generic, matter-coupled, 2D dilaton gravity theories under dilaton-dependent Weyl rescalings of the metric. We show that physical observables associated with 2D black holes, such as the mass, the temperature and the flux of Hawking radiation are invariant under the action of both Weyl transformations and dilaton reparametrizations. The field theoretical and geomet...

We present a physically reasonable source for an static, axially– symmetric solution to the Einstein equations. Arguments are provided , supporting our belief that the exterior space–time produced by such source, describing a quadrupole correction to the Schwarzschild metric, is particularly suitable (among known solutions of the Weyl family) for discussing the properties of quasi–spherical gra...

We present a class of static supersymmetric multi-center black hole solutions arising in four-dimensional N = 2 supergravity theories with terms quadratic in the Weyl tensor. We also comment on possible corrections to the metric on the moduli space of these black holes solutions.

We show that almost all metric–affine theories of gravity yield Einstein equations with a non–null cosmological constant Λ. Under certain circumstances and for any dimension, it is also possible to incorporate a Weyl vector field Wμ and therefore the presence of an anisotropy. The viability of these field equations is discussed in view of recent astrophysical observations.