242 citations · 2.5k across the 69 of their papers we have counts for
11 papers · 1 filter
Emmy's letter to Santa Claus (and a reply): Vaidya geometries and scalar fields with null gradients
Valerio Faraoni, Andrea Giusti, Bardia H. Fahim
Emmy, a child prodigy, writes a letter to Santa Claus asking for a Vaidya solution sourced by a massless scalar field with null gradient for Christmas. Santa writes back explaining…
Brans-Dicke analogue of the Roberts geometry
Bardia H. Fahim, Valerio Faraoni, Andrea Giusti
We report a new one-parameter family of spherically symmetric, inhomogeneous, and time-dependent solutions of the vacuum Brans-Dicke field equations which are conformal to the Robe…
On the Kuzmin model in fractional Newtonian gravity
Andrea Giusti, Roberto Garrappa, Geneviève Vachon
Fractional Newtonian gravity, based on the fractional generalization of Poisson's equation for Newtonian gravity, is a novel approach to Galactic dynamics aimed at providing an alt…
Asymptotic flatness and Hawking quasilocal mass
Valerio Faraoni, Andrea Giusti, Tyler F. Bean
We point out an association between anomalies in the Hawking quasilocal mass (or, in spherical symmetry, in its better known version, the Misner-Sharp-Hernandez mass) and unphysica…
Bootstrapped Newtonian cosmology and the cosmological constant problem
Roberto Casadio, Andrea Giusti
Bootstrapped Newtonian gravity was developed with the purpose of estimating the impact of quantum physics in the nonlinear regime of the gravitational interaction, akin to corpuscu…
Unsettling physics in the quantum-corrected Schwarzschild black hole
Valerio Faraoni, Andrea Giusti
We study a quantum-corrected Schwarzschild black hole proposed recently in Loop Quantum Gravity. Prompted by the fact that corrections to the innermost stable circular orbit of Sch…
Why fractional derivatives with nonsingular kernels should not be used
Kai Diethelm, Roberto Garrappa, Andrea Giusti +1
In recent years, many papers discuss the theory and applications of new fractional-order derivatives that are constructed by replacing the singular kernel of the Caputo or Riemann-…
Quasilocal mass in scalar-tensor gravity: spherical symmetry
Andrea Giusti, Valerio Faraoni
A recent generalization of the Hawking-Hayward quasilocal energy to scalar-tensor gravity is adapted to general spherically symmetric geometries. It is then applied to several blac…
Turnaround radius in scalar-tensor gravity with quasilocal mass
Valerio Faraoni, Andrea Giusti, Jeremy Côté
Following an existing procedure in general relativity, the turnaround radius of a spherical structure is studied in scalar-tensor gravity using a new prescription for the analog of…
A practical guide to Prabhakar fractional calculus
Andrea Giusti, Ivano Colombaro, Roberto Garra +4
The Mittag-Leffler function is universally acclaimed as the Queen function of fractional calculus. The aim of this work is to survey the key results and applications emerging from…
MOND-like Fractional Laplacian Theory
Andrea Giusti
I provide a derivation of some characteristic effects of Milgrom's modified Newtonian dynamics (MOND) from a fractional version of Newton's theory based on the fractional Poisson e…