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gr-qc20261 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 orthogo…

gr-qc2025

Shadows and amplitude luminosity of an embedded rotating black hole

Abraao J. S. Capistrano, Antonio C. Gutierrez-Pineres, Carlos H. Coimbra-Araujo

We investigate a rotating black hole embedded in a five-dimensional flat bulk by extending the Kerr metric through the Gurses-Gursey line element. Employing Boyer-Lindquist coordin…

gr-qc2025

ECO signatures from the Weyl-induced gravitational waveform injection

Abraão J. S. Capistrano, Newton M. S. Chávez, Víctor A. M. León

We investigate gravitational wave emission from an oscillating star modeled in a static Weyl background using a modulated waveform ansatz. First, we revisit the Weyl metric and obt…

gr-qc2024

Slow-roll inflation from a geometric scalar-tensor model with self-interacting potentials

Abraão J. S. Capistrano, Gilberto M. Kremer

We consider slow-roll inflation in the context of a modified Brans-Dicke dilaton gravity. From a two self-interacting potentials , we reproduce a Starobinsky-like potential…

gr-qc2024

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…