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gr-qc2024

Gravitational capture cross-section in Zipoy-Voorhees spacetimes

Serzhan Momynov, Kuantay Boshkayev, Hernando Quevedo +5

We consider geodesics of massive and massless test particles in the gravitational field of a static and axisymmetric compact object described by the quadrupolar metric (-metric)…

gr-qc2024

On the single versus the repetitive Penrose process in a Kerr black hole

Remo Ruffini, Mikalai Prakapenia, Hernando Quevedo +1

Extracting the rotational energy from a Kerr black hole (BH) is one of the crucial topics in relativistic astrophysics. Here, we give special attention to the Penrose ballistic pro…

gr-qc2024

Event horizons under the effect of the Penrose process

Hernando Quevedo

We investigate how test particles absorbed by a black hole affect the properties of the event horizon. We consider particles that arrive from infinity with positive energy and cros…

gr-qc2024

Spherically symmetric collapse: Initial configurations

Elly Bayona, Hernando Quevedo, Miguel Alcubierre

The initial state of the spherical gravitational collapse in general relativity has been studied with different methods, especially by using {\it a priori} given equations of state…

gr-qc2024

Time is entropy: A geometric proof

Hernando Quevedo

We analyze the equilibrium space of an ideal gas using the formalism of geometrothermodynamics. We introduce the concept of thermodynamic geodesics to show that the equilibrium spa…

math-ph2024

Functional measures associated to operators

Luis A. Cedeño-Pérez, Hernando Quevedo

We show that every operator in has an associated measure on a space of functions and prove that it can be used to find solutions to abstract Cauchy problems, including part…