Sergio Costa Ulhoa

Sergio Costa Ulhoa

*This is an algorithmically generated author record based on publicly available information.

Current Organizations / Institutes

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Previous Organizations / Institutes

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Sergio Costa Ulhoa has a total of 68 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • On the gravitational-wave energy density in the teleparallel equivalent of general relativity: Application to LIGO–Virgo–KAGRA events

    by S. C. Ulhoa, F. L. Carneiro, B. C. C. Carneiro, L. V. A. Cunha

    In this paper, we compute the gravitational energy density of a linearized gravitational wave in the teleparallel equivalent of general relativity. For a plane wave in the transverse-traceless gauge we obtain the closed and exact expression [Formula: see text], and evaluate it on model polarizations [Formula: see text] and [Formula: see text] generated with source parameters consistent with 10 LIGO–Virgo–KAGRA events spanning binary black holes, binary neutron stars and neutron-star-black-hole systems. Being a total derivative in the retarded time, the density is not positive definite and the energy it assigns to a region reduces to a flux across its boundary. As a local diagnostic, however, its morphology correlates with the nature of the source, contrasting the slow, growing oscillation of neutron-star systems with the compact profile that marks a black-hole merger. We argue that this quantity, built directly from the strain, may offer a template-independent diagnostic of gravitational-wave events.

  • Open Access

    On the Gravitational-Wave Energy Density in the Teleparallel Equivalent of General Relativity: Application to LIGO–Virgo–KAGRA Events

    by S. C. Ulhoa, F. L. Carneiro, B. C. C. Carneiro, L. V. A. Cunha

    We compute the gravitational energy density of a linearized gravitational wave in the teleparallel equivalent of general relativity. For a plane wave in the transverse-traceless gauge we obtain the closed and exact expression \( \varepsilon(u)=\tfrac{1}{32\pi}\,\tfrac{d^{2}}{du^{2}}(h_{+}^{2}+h_{\times}^{2}) \), and evaluate it on model polarizations h₊(t) and h×(t) generated with source parameters consistent with ten LIGO-Virgo-KAGRA events spanning binary black holes, binary neutron stars and neutron-star-black-hole systems. Being a total derivative in the retarded time, the density is not positive definite and the energy it assigns to a region reduces to a flux across its boundary; as a local diagnostic, however, its morphology correlates with the nature of the source, contrasting the slow, growing oscillation of neutron-star systems with the compact profile that marks a black-hole merger. We argue that this quantity, built directly from the strain, may offer a template-independent diagnostic of gravitational-wave events.

  • Open Access

    On a Gödel-like solution in non-relativistic gravity

    by A. F. Santos, R. G. G. Amorim, K. V. S. Araújo, S. C. Ulhoa

    The article deals with Gödel-like solutions in the context of Galilean gravity, a geometric formulation of non-relativistic gravitation defined on a five-dimensional Galilean manifold. Within this framework, non-relativistic matter fields admit a covariant description, while the physical Newtonian dynamics is recovered through an immersion into the usual $$3+1$$ 3 + 1 spacetime. By adopting a Gödel-like metric ansatz and coupling the gravitational field to a Galilean fluid derived from a variational principle, we obtain a system of highly nonlinear and coupled field equations. This system is solved exactly: the matter sector is determined algebraically by the field equations, and the metric functions are obtained in closed form, $$D(x)=\cosh (mx)$$ D ( x ) = cosh ( m x ) and $$H(x)=\sinh (mx)$$ H ( x ) = sinh ( m x ) . The resulting configuration describes a rotating non-relativistic universe supported by the constant potential term of the fluid Lagrangian and satisfies the identity $$D^{2}(x)-H^{2}(x)=1$$ D 2 ( x ) - H 2 ( x ) = 1 throughout the entire spatial domain. As a consequence, the associated Killing vector remains spacelike everywhere and no closed timelike curves arise.

  • On the gravitational energy of axial perturbations in regular black holes

    by S. C. Ulhoa, F. L. Carneiro, B. C. C. Carneiro

    This paper deals with the gravitational energy associated with axial perturbations of regular black holes. We review the stability of the geometry under odd-parity perturbations and the corresponding quasinormal modes, previously obtained for this class of spacetimes. The perturbative functions describing the metric fluctuations are reconstructed from the master equation. To evaluate the energy content of these perturbations, we employ the Teleparallel Equivalent of General Relativity (TEGR), which provides a well-defined expression for gravitational energy. The gravitational energy is computed up to second order in the perturbation parameter and expressed in terms of the quasinormal mode functions. Our results establish a direct connection between the dynamical response of regular black holes and the energy carried by their gravitational perturbations.

  • The role of gravitational energy flux in cosmic acceleration

    by S C Ulhoa, F L Carneiro, J W Maluf

    The article deals with the role of gravitational radiation energy in the large-scale dynamics of the Universe. Motivated by the observed accelerated expansion, we investigate whether gravitational energy, treated as a well-defined physical quantity within the teleparallel equivalent of general relativity, contributes to cosmological acceleration through its associated energy flux. Using radiative space-times described by the Bondi–Sachs framework, we analyze the total gravitational energy and the corresponding energy flux evaluated in asymptotic regions. Particular emphasis is placed on the cumulative character of gravitational radiation over long time scales and on the fact that gravitational energy in this formulation is not positively definite. The present analysis provides a consistent theoretical basis for assessing the relevance of gravitational radiation energy and its flux in cosmological contexts.

  • On nonrelativistic isotropic and homogeneous universe

    by R. G. G. Amorim, A. F. Santos, K. V. S. Araújo, S. C. Ulhoa

    This paper deals with a nonrelativistic cosmological model based on Galilean covariance, formulated within a five-dimensional Galilean manifold. Within this framework, we construct an isotropic and homogeneous metric analogous to the Friedmann–Robertson–Walker metric but without a universal speed limit. Two distinct solutions of the Einstein-like field equations are obtained: (i) a vacuum configuration [ ] yielding an exponential–quadratic scale factor, and (ii) a dust-dominated universe [ ] described by a noninteracting nonrelativistic fluid. Upon dimensional reduction to 3[ ]1 spacetime through a specific embedding, the model naturally develops anisotropy in the scale factor and density, consistent with the near-zero spatial curvature inferred from Planck data. In the case of vanishing spatial curvature, the framework reproduces Milne’s Newtonian cosmology because this condition leads to a vanishing pressure. This provides an independent nonrelativistic setting for cosmological dynamics within Galilean covariance.

  • On the gravitational angular momentum of axial perturbations of a regular black hole

    by Sergio C. Ulhoa, F. L. Carneiro, B. C. C. Carneiro

    This Letter deals with the gravitational angular momentum carried by axial (odd-parity) perturbations of the Bardeen regular black hole within the teleparallel equivalent of general relativity (TEGR). Using the Hamiltonian definition of conserved quantities in TEGR, we derive a closed expression for the perturbative angular momentum $\delta J$ in terms of the axial perturbation function $h_0(r,t)$. The result exhibits a sharp multipolar selection rule: $\delta J$ vanishes for odd values of the multipole index $\ell$, while even-$\ell$ modes yield a nonzero contribution. The radial and temporal behavior of $\delta J$ is illustrated using the known axial quasinormal modes of the Bardeen spacetime.

  • Blueshift of light rays induced by gravitational wave memory effect

    by F L Carneiro, S C Ulhoa, J W Maluf

    The article deals with photon propagation in pp-wave spacetimes in the strong gravitational-wave regime and its consequences for redshift measurements. We show that null geodesics crossing a localized pp-wave pulse exhibit an energy memory effect, producing a finite asymptotic shift in the photon frequency measured by static observers. This path-dependent contribution acts directly on the redshift observable and may help account for divergent interpretations of supernova redshift data in the presence of intervening gravitational radiation.

  • Open Access

    On a Gödel-like Solution in Non-Relativistic Gravity

    by A. F. Santos, R. G. G. Amorim, K. V. S. Araújo, S. C. Ulhoa

    The article deals with Gödel-like solutions in the context of Galilean gravity, a geometric formulation of non-relativistic gravitation defined on a five-dimensional Galilean manifold. Within this framework, non-relativistic matter fields admit a covariant description, while the physical Newtonian dynamics is recovered through an immersion into the usual $3+1$ spacetime. By adopting a Gödel-like metric ansatz and coupling the gravitational field to a Galilean fluid derived from a variational principle, we obtain a system of highly nonlinear and coupled field equations. Exact solutions are constructed by fixing the matter sector consistently with the field equations. The resulting configurations describe rotating non-relativistic universes and satisfy $D(x)>H(x)$ throughout the entire spatial domain. As a consequence, the associated Killing vector remains spacelike everywhere and no closed timelike curves arise.

  • Open Access

    On the Gravitational Energy of Axial Perturbations in Regular Black Holes

    by S. C. Ulhoa, F. L. Carneiro, B. C. C. Carneiro

    The article deals with the gravitational energy associated with axial perturbations of regular black holes. We review the stability of the geometry under odd-parity perturbations and the corresponding quasinormal modes, previously obtained for this class of spacetimes. The perturbative functions describing the metric fluctuations are reconstructed from the master equation. To evaluate the energy content of these perturbations, we employ the Teleparallel Equivalent of General Relativity (TEGR), which provides a well-defined expression for gravitational energy. The gravitational energy is computed up to second order in the perturbation parameter and expressed in terms of the quasinormal mode functions. Our results establish a direct connection between the dynamical response of regular black holes and the energy carried by their gravitational perturbations.