69 citations · 276 across the 14 of their papers we have counts for
14 papers
Introduction to Higher Order Classical Dynamics: Pais-Uhlenbeck Model and Coupled Oscillators
Cássius Anderson Miquele de Melo, Ivan Francisco de Souza
Most of the laws of Nature involve derivatives up to the second order. Ostrogradski was the first to seek a formulation of the equations of higher-order derivatives. He extended Ha…
Aharonov-Bohm Effect in Generalized Electrodynamics
C. A. M. de Melo, B. M. Perez, J. C. Sumire Esquia +1
The Aharonov-Bohm (AB) effect is considered in the context of Generalized Electrodynamics (GE) by Podolsky and Bopp. GE is the only extension to Maxwell electrodynamics that is loc…
Shadows of black holes at cosmological distances in the co-varying physical couplings framework
R. R. Cuzinatto, C. A. M. de Melo, Juliano C. S. Neves
The co-varying physical couplings (CPC) framework states that physical parameters like the speed of light in vacuum , the Newtonian constant , and the cosmological constant $…
Viable wormhole solution in Bopp-Podolsky electrodynamics
D. A. Frizo, C. A. M. de Melo, L. G. Medeiros +1
Following a recent approach in which the gravitational field equations in curved spacetimes were presented in the Bopp--Podolsky electrodynamics, we obtained an approximate and sph…
Bopp-Podolsky black holes and the no-hair theorem
R. R. Cuzinatto, C. A. M. de Melo, L. G. Medeiros +2
Bopp-Podolsky electrodynamics is generalized to curved space-times. The equations of motion are written for the case of static spherically symmetric black holes and their exterior…
Scalar-multi-tensorial equivalence for higher order theories of gravity
R. R. Cuzinatto, C. A. M. de Melo, L. G. Medeiros +1
The equivalence between theories depending on the derivatives of , i.e. , and scalar-multi-tensorial theories is verified. The analys…
Non-linear effects on radiation propagation around a charged compact object
R. R. Cuzinatto, C. A. M. de Melo, K. C. de Vasconcelos +2
The propagation of non-linear electromagnetic waves is carefully analyzed on a curved spacetime created by static spherically symmetric mass and charge distribution. We compute how…
Causal Structure and Birefringence in Nonlinear Electrodynamics
C. A. M. de Melo, L. G. Medeiros, P. J. Pompeia
We investigate the causal structure of general nonlinear electrodynamics and determine which Lagrangians generate an effective metric conformal to Minkowski. We also proof that the…
Observational constraints to a phenomenological -model
R. R. Cuzinatto, C. A. M. de Melo, L. G. Medeiros +1
This paper analyses the cosmological consequences of a modified theory of gravity whose action integral is built from a linear combination of the Ricci scalar and a quadratic t…
How can one probe Podolsky Electrodynamics?
R. R. Cuzinatto, C. A. M. de Melo, L. G. Medeiros +1
We investigate the possibility of detecting the Podolsky generalized electrodynamics constant . First we analyze an ion interferometry apparatus proposed by B. Neyenhuis, et al…
Variational Formulation for Quaternionic Quantum Mechanics
C. A. M. de Melo, B. M. Pimentel
A quaternionic version of Quantum Mechanics is constructed using the Schwinger's formulation based on measurements and a Variational Principle. Commutation relations and evolution…
Cosmic acceleration from second order gauge gravity
R. R. Cuzinatto, C. A. M. de Melo, L. G. Medeiros +1
We construct a phenomenological theory of gravitation based on a second order gauge formulation for the Lorentz group. The model presents a long-range modification for the gravitat…
Gauge Formulation for Higher Order Gravity
R. R. Cuzinatto, C. A. M. de Melo, L. G. Medeiros +1
This work is an application of the second order gauge theory for the Lorentz group, where a description of the gravitational interaction is obtained which includes derivatives of t…
Second Order Gauge Theory
R. R. Cuzinatto, C. A. M. de Melo, P. J. Pompeia
A gauge theory of second order in the derivatives of the auxiliary field is constructed following Utiyama's program. A novel field strength arises besides the on…