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20132026
most citedAnomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems

186 citations

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22 papers · 1 filter

gr-qc2026★ 1 cited

Probing dynamical embeddings in a five-dimensional spacetime in light of DESI BAO

Abraão J. S. Capistrano, Emanuelly Silva, Rafael C. Nunes +1

We here investigate the observational viability of Nash gravity as an alternative to the standard CDM cosmology. Based on Nash's embedding theorem, the model introduces orthogon…

gr-qc2024★ 7 cited

Lower tensor-to-scalar ratio as possible signature of modified gravity

Abraão J. S. Capistrano, Rafael C. Nunes, Luís A. Cabral

This paper simplifies the induced four-dimensional gravitational equations originating from a five-dimensional bulk within the framework of Nash's embeddings, incorporating them in…

gr-qc2022★ 16 cited

Orbital decay of double white dwarfs: beyond gravitational wave radiation effects

G. A. Carvalho, R. C. dos Anjos, J. G. Coelho +6

The traditional description of the orbital evolution of compact-object binaries, like double white dwarfs (DWDs), assumes that the system is driven only by gravitational wave (GW)…

gr-qc2020★ 5 cited

Acceleration of charged particles from near-extremal rotating black holes embedded in magnetic fields

C. H. Coimbra-Araújo, R. C. Anjos

The aim of the present article is to evaluate the motion of charged test particles in the vicinity of a near-extremal rotating black hole in the presence of magnetic fields. Euler-…

gr-qc2020★ 3 cited

Bohmian mechanics of Klein-Gordon equation via quantum metric and mass

S. Jalalzadeh, A. J. S. Capistrano

The causal stochastic interpretation of relativistic quantum mechanics has the problems of superluminal velocities, motion backward in time and the incorrect non-relativistic limit…

gr-qc2019★ 6 cited

Interacting Dark Side of Universe Through Generalized Uncertainty Principle

Mahdi Rashki, Majid Fathi, Behrang Mostaghel +1

We investigate the impact of the generalized uncertainty principle proposed by some approaches to quantum gravity such as string theory and doubly special relativity on the cosmolo…

gr-qc2017★ 21 cited

Quantum deformation of quantum cosmology: A framework to discuss the cosmological constant problem

S. Jalalzadeh, A. J. S. Capistrano, P. V. Moniz

We endorse the context that the cosmological constant problem is a quantum cosmology issue. Therefore, in this paper we investigate the -deformed Wheeler-DeWitt equation of a sp…

gr-qc2017★ 4 cited

Quantum Hamilton-Jacobi cosmology and classical-quantum correlation

M. Fathi, S. Jalalzadeh

How the time evolution which is typical for classical cosmology emerges from quantum cosmology? The answer is not trivial because the Wheeler-DeWitt equation is time independent. A…

gr-qc2016★ 9 cited

The Quantum State Of The Universe From Deformation Quantization and Classical-Quantum Correlation

M. Rashki, S. Jalalzadeh

In this paper we study the quantum cosmology of homogeneous and isotropic cosmology, via the Weyl-Wigner-Groenewold-Moyal formalism of phase space quantization, with perfect fluid…

gr-qc2016★ 1 cited

On Quasinormal Modes for Scalar Perturbations of Static Spherically Symmetric Black Holes in Nash Embedding Framework

S. C. Ulhoa, R. G. G. Amorim, Abraão J. S. Capistrano

In this paper we investigate scalar perturbations of black holes embedded in a five dimensional bulk space. It is calculated the quasinormal frequencies of a such black holes using…

gr-qc2016★ 1 cited

Effective perihelion advance and potentials in a conformastatic background with magnetic field

Abraão J. S. Capistrano, Antonio C. Gutiérrez-Piñeres

An Exact solution of the Einstein-Maxwell field equations for a conformastatic metric with magnetized sources is study. In this context, effective potential are studied in order to…

gr-qc2016★ 21 cited

Non-singular Brans-Dicke collapse in deformed phase space

S. M. M. Rasouli, A. H. Ziaie, S. Jalalzadeh +1

We study the collapse process of a homogeneous perfect fluid (in FLRW background) with a barotropic equation of state in Brans-Dicke (BD) theory in the presence of phase space defo…

gr-qc2016★ 11 cited

Anomalous precession of planets on a Weyl conformastatic solution

Abraão J. S. Capistrano, Joice A. M. Penagos, Manuel S. Alárcon

In this paper, we investigate the anomalous planets precession in the nearly-newtonian gravitational regime. This limit is obtained from the application of the slow motion conditio…

gr-qc2016★ 2 cited

Test particles in a magnetized conformastatic spacetime

Antonio C. Gutiérrez-Piñeres, Abraão J. S. Capistrano, Hernando Quevedo

A class of exact conformastatic solutions of the Einstein-Maxwell field equations is presented in which the gravitational and electromagnetic potentials are completely determined b…

gr-qc2015★ 10 cited

Implications on the cosmic coincidence by a dynamical extrinsic curvature

A. J. S Capistrano, L. A. Cabral

In this work, we apply the smooth deformation concept in order to obtain a modification of Friedmann equations. It is shown that the cosmic coincidence can be at least alleviated u…

gr-qc2015★ 6 cited

Why the measured cosmological constant is small

T. Rostami, S. Jalalzadeh

In a quest to explain the small value of the today's cosmological constant, following the approach introduced in [1], we show that the theoretical value of cosmological constant is…

gr-qc2015★ 14 cited

Quantum cosmological intertwining: Factor ordering and boundary conditions from hidden symmetries

T. Rostami, S. Jalalzadeh, P. V. Moniz

We explore the implications of hidden symmetries present in a particular quantum cosmological setting, extending the results reported in \cite{10,11}. In more detail, our case stud…

gr-qc2015★ 10 cited

On the thermal stability of a static spherically symmetric black holes in Nash embedding framework

Abraão J. S Capistrano, Antonio C. Gutiérrez-Piñeres, Sergio C. Ulhoa +1

We study the deformation caused by the influence of extrinsic curvature on a vacuum spherically symmetric metric embedded in a five-dimensional bulk. In this sense, we investigate…

gr-qc2014★ 5 cited

Evolving extrinsic curvature and the cosmological constant problem

Abraao J. S. Capistrano, Luiz A. Cabral

The concept of smooth deformation of Riemannian manifolds associated with the extrinsic curvature is explained and applied to the FLRW cosmology. We show that such deformation can…

gr-qc2014★ 14 cited

Smooth deformations and cosmic statefinders

A. J. S Capistrano

We study the possibility that the universe is subjected to a deformation, besides its expansion described by Friedmann's equations. The concept of smooth deformation of a riemannia…

gr-qc2014★ 15 cited

Weyl conformastatic perihelion advance of small body objects

Abraao J. S. Capistrano, Waldir L. Roque, Rafael S. Valada

In this paper, we examine a static gravitational field with axial symmetry over probe particles in the solar system. Using the Weyl conformastatic solution as a model, we find a no…

gr-qc2013★ 12 cited

Geometrical aspects on the dark matter problem

A. J. S Capistrano, L. A. Cabral

In the present paper we apply the Nash's theory of perturbative geometry to the study of dark matter gravity in a higher-dimensional space-time. It is shown that the dark matter gr…