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gr-qc2026

Robinson-Trautman spacetimes in (2+1) dimensions

Alberto Saa

We propose a Robinson-Trautman evolution in -dimensional spacetime that retains key structural features of the four-dimensional case. We consider a recently studied exact fa…

gr-qc2026

Vacuum polarization in the Schwarzschild black hole with a global monopole

Leonardo G. Barbosa, Victor H. M. Ramos, João Paulo M. Pitelli

We investigate vacuum polarization on the event horizon of a Schwarzschild black hole carrying a global monopole. For a massless scalar field in the Hartle-Hawking state and wi…

gr-qc2025

Unified dynamical system formulations for gravity with applications to nonminimal derivative coupling and -Higgs inflation

Saikat Chakraborty, Sergio E. Jorás, Alberto Saa

Two different dynamical system formulations are presented that can be implemented to analyze a rather large class of modified gravity theories within the generic family.…

gr-qc2025★ 3 cited

Wind-Finslerian structure of black holes

Hengameh R. Dehkordi, Mauricio Richartz, Alberto Saa

Recently, there has been an increasing interest in the Finslerian interpretation of null geodesics in the exterior regions of stationary black holes, particularly through the Zerme…

gr-qc2024★ 1 cited

Stability of the spacetime of a magnetized compact object

Eveling C. Ribeiro, L. Formigari, Marcos R. Ribeiro +5

We investigate the stability of scalar perturbations around a magnetized stationary compact object in General Relativity. The considered object is one of the simplest exact solutio…

gr-qc2024★ 2 cited

Chaotic orbital dynamics of pulsating stars around black holes surrounded by dark matter halos

Tiago S. Amancio, Ricardo A. Mosna, Ronaldo S. S. Vieira

We analyze the orbital dynamics of spherical test bodies in ``black hole surrounded by dark matter halo'' spherically symmetric spacetimes. When the test body pulsates periodically…

gr-qc2024

Unruh-deWitt detector in impulsive plane wave spacetimes

João Paulo M. Pitelli, Ricardo A. Mosna

We investigate the response function of an inertial Unruh-deWitt detector in an impulsive plane wave spacetime. Through symmetry considerations applied to the Wightman function, we…

gr-qc2024★ 2 cited

The need for a nonlocal expansion in general relativity

Marco Galoppo, Giorgio Torrieri

Motivated by known facts about effective field theory and non-Abelian gauge theory, we argue that the post-Newtonian approximation might fail even in the limit of weak fields and s…

gr-qc2024★ 2 cited

Chaotic dynamics of pulsating spheres orbiting black holes

Fernanda de F. Rodrigues, Ricardo A. Mosna, Ronaldo S. S. Vieira

We study the chaotic dynamics of spinless extended bodies in a wide class of spherically symmetric spacetimes, which encompasses black-hole scenarios in many modified theories of g…

gr-qc2024

Quasinormal modes and the analytical continuation of non-self-adjoint operators

M. G. Richarte, J. C. Fabris, A. Saa

We briefly review the analytical continuation method for determining quasinormal modes (QNMs) and the associated frequencies in open systems. We explore two exactly solvable cases…

gr-qc2023★ 8 cited

The number of fundamental constants from a spacetime-based perspective

George E. A. Matsas, Vicente Pleitez, Alberto Saa +1

We revisit Duff, Okun, and Veneziano's divergent views on the number of fundamental constants and argue that the issue can be set to rest by having spacetime as the starting point.…

gr-qc2023★ 5 cited

Robin boundary conditions in acoustic BTZ black holes

Christyan C. de Oliveira, Ricardo A. Mosna, João Paulo M. Pitelli

We introduce an analog model for the conformally coupled scalar field on the BTZ black hole. The model is based on the propagation of acoustic waves in a Laval nozzle. Since the BT…

gr-qc2022

Comment on "Analog Schwarzschild-like geometry in fluids with external pressure''

João Paulo M. Pitelli, Ricardo A. Mosna, Christyan C. de Oliveira +1

In Ref. [1], exact (not only conformally related) analogue models for the Schwarzschild and Reissner-Nordström spacetimes were found. The background non-relativistic fluid flow was…

gr-qc2022★ 4 cited

Chaotic dynamics of a spinless axisymmetric extended body around a Schwarzschild black hole

Ricardo A. Mosna, Fernanda F. Rodrigues, Ronaldo S. S. Vieira

We investigate the long-term orbital dynamics of spinless extended bodies in Schwarzschild geometry, and show that periodic deviations from spherical symmetry in the shape of a tes…

gr-qc2022★ 4 cited

Analog model for the BTZ black hole

Christyan C. de Oliveira, Ricardo A. Mosna

We present an analog model for the Bañados, Teitelboim, Zanelli (BTZ) black hole based on a hydrodynamical flow. We numerically solve the fully nonlinear hydrodynamic equations of…

gr-qc2022★ 3 cited

Boundary conditions for isolated asymptotically anti-de Sitter spacetimes

Christyan C. de Oliveira, Ricardo A. Mosna, João Paulo M. Pitelli

We revisit the propagation of classical scalar fields in a spacetime which is asymptotically anti-de Sitter. The lack of global hyperbolicity of the underlying background gives ris…

gr-qc2021

Isochrone spacetimes

Alberto Saa, Roberto Venegeroles

We introduce the relativistic version of the well-known Henon's isochrone spherical models: static spherically symmetrical spacetimes in which all bounded trajectories are isochron…

gr-qc2021★ 7 cited

Unruh-DeWitt detector in

João Paulo M. Pitelli, Bruno S. Felipe, Ricardo A. Mosna

We find the response function and the transition rate for an Unruh-DeWitt detector interacting with a conformal scalar field in global two-dimensional anti--de Sitter (AdS) spaceti…

gr-qc2021★ 9 cited

Analogue models for Schwarzschild and Reissner-Nordström spacetimes

Christyan C. de Oliveira, Ricardo A. Mosna, João Paulo M. Pitelli +1

We present analogue models for the Schwarzschild and Reissner-Nordström (RN) spacetimes based on unidirectional hydrodynamic flows. We show that, with appropriate coordinate transf…

gr-qc2021★ 12 cited

An angular momentum based graviton detector

J. P. M. Pitelli, T. Rick Perche

We show that gravitons with energy , where is the energy gap a localized non-relativistic system, can be detected by finite-time interactions with a detector. Our detector…

gr-qc2021

Post-Newtonian Hamiltonian dynamics: applications to stationary spacetimes and statistical mechanics

Ronaldo S. S. Vieira, Javier Ramos-Caro, Alberto Saa

Although the post-Newtonian Lagrangian formalism is widely used in relativistic dynamical and statistical studies of test bodies moving around arbitrary mass distributions, the cor…

gr-qc2020★ 11 cited

Quasinormal modes and self-adjoint extensions of the Schroedinger operator

Júlio C. Fabris, Martín G. Richarte, Alberto Saa

We revisit here the analytical continuation approach usually employed to compute quasinormal modes (QNM) and frequencies of a given potential barrier starting from the bounded…

gr-qc2019

The Influence of Magnetic Field Geometry in Neutron Stars Crustal Oscillations

Gibran Henrique de Souza, Ernesto Kemp

In this work, we have studied oscillations in the crust of a neutron star which magnetic field has both dipolar and toroidal components, the former extends from the stellar interio…

gr-qc2019★ 5 cited

Particle Production Between Isometric Frames on a Poincaré Patch of

J. P. M. Pitelli, Vitor S. Barroso

In a recent paper [J. P. M. Pitelli, Phys. Rev. D {\bf 99}, 108701 (2019)], one of us showed that the vacuum state associated to conformal fields on a Poicaré patch of anti-de Sitt…