By using the Hamiltonian formulation, we demonstrate that the Merton-Garman equation
emerges naturally from the Black-Scholes equation after imposing invariance (symmetry) …

The Bronnikov model of nonlinear electrodynamics is investigated in general relativity. The
magnetic black hole is considered and we obtain a solution giving corrections to the …

We calculate explicitly the black-hole temperature for the Schwarzschild de-Sitter solution
inside massive gravity by defining the Killing-vector in the direction of the Stückelberg …

It is well known that the black hole can have temperature and radiate the particles with black
body spectrum, ie Hawking radiation. Therefore, if the black hole is surrounded by an …

Decaying Dark Energy models modify the background evolution of the most common
observables, such as the Hubble function, the luminosity distance and the Cosmic …

Fields of spin s≥ 1/2 satisfying wave equations in a curved space obey the Huygens
principle under certain conditions clarified by a known theorem. Here, this theorem is …

A scheme for the generalized Chaplygin gas equation of state is shown by using the
holographic Ricci dark energy. Regression analysis and a chi-square test were performed. A …

We compare the standard Higgs mechanism corresponding to the scalar field, with the
dynamical origin of the graviton mass inside the scenario of the dRGT theory of massive …

We derive the vacuum energy from the zero-point quantum fluctuations after imposing a
natural constraint emerging from the rotational symmetry inside the de-Sitter metric. The …

The presence of Nambu–Goldstone bosons introduce a natural degeneracy inside the
vacuum solutions of the nonlinear formulations of massive gravity in the same spirit of the σ …