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20122023
most citedWeyl Tensor Classification in Four-dimensional Manifolds of All Signatures

19 citations · 139 across the 24 of their papers we have counts for

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gr-qc2023

On the quasinormal modes in generalized Nariai spacetimes

Joás Venâncio

Quasinormal modes are eigenmodes of dissipative systems. For instance, if a spacetime with an event or cosmological horizon is perturbed from its equilibrium state, quasinormal mod…

gr-qc2020★ 3 cited

On the Equivalence of Spacetimes, the Cartan-Karlhede Algorithm

Thiago M. Mergulhão, Carlos Batista

It is well known that in general relativity theory two spacetimes whose metrics are related by a coordinate transformation are physically equivalent. However, given two line elemen…

gr-qc2020★ 7 cited

On Conserved Quantities for the Free Motion of Particles with Spin

Carlos Batista, Esdras Barbosa dos Santos

In the early 80's, R. Rüdiger published a pair of articles in which it was found the most general conserved charges associated to the motion of particles with spin moving in curved…

gr-qc2020★ 2 cited

Spin 2 Quasinormal Modes in Generalized Nariai Spacetimes

Carlos Batista, Joás Venâncio

In this work we analytically obtain the quasinormal spectrum for the gravitational perturbation on a higher-dimensional generalization of the Nariai spacetime that is comprised of…

gr-qc2018

A Class of Higher-Dimensional Solutions of Einstein's Vacuum Equation

Carlos Batista, Gabriel Luz Almeida

A new class of higher-dimensional exact solutions of Einstein's vacuum equation is presented. These metrics are written in terms of the exponential of a symmetric matrix and when t…

gr-qc2018★ 2 cited

A Class of Integrable Metrics II

Carlos Batista, Gabriel Luz Almeida

Starting with a subclass of the four-dimensional spaces possessing two commuting Killing vectors and a non-trivial Killing tensor, we fully integrate Einstein's vacuum equation wit…