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gr-qc2025

Temperature definitions and phase transitions within non-minimal large and small inflationary potentials

Jesus Anaya-Galeana, Orlando Luongo, Hernando Quevedo

We explore and compare two distinct temperature definitions for scalar field inflation in the context of small- and large-field potentials. The first is based on a real gas, fluid-…

gr-qc2025

Non-extensive and quasi-homogeneous geometrothermodynamics

Hernando Quevedo, María N. Quevedo

We study the thermodynamic properties of black holes, taking into account the non-extensive character of their entropy at the thermodynamic and statistical level. To this end, we a…

math.FA2025

A General Theory of Operator-Valued Measures

Luis A. Cedeño-Pérez, Hernando Quevedo

We construct a new kind of measures, called projection families, which generalize the classical notion of vector and operator-valued measures. The maximal class of reasonable funct…

gr-qc2025

Thermodynamics of the FLRW apparent horizon in Einstein-Gauss-Bonnet gravity

Luis M. Sánchez, Hernando Quevedo

We analyze the thermodynamic properties of the apparent horizon of Friedmann-Lemaître-Roberson-Walker (FLRW) spacetimes in Einstein-Gauss-Bonnet gravity. We use the generalized de…

gr-qc2025

Constraining quadrupole deformations with relativistic effects

Daniya Utepova, Kuantay Boshkayev, Serzhan Momynov +4

We investigate two general relativistic effects - namely, the Shirokov and Shapiro effects - within the framework of the Zipoy-Voorhees spacetime (-metric), which generalizes th…

gr-qc2025

Phase Transitions, Shadows, and Microstructure of Kerr-anti-de Sitter Black Holes from Geometrothermodynamics

Jose Miguel Ladino, Carlos E. Romero-Figueroa, Hernando Quevedo

Using the formalism of geometrothermodynamics, we investigate the phase-transition structure and microstructure of the Kerr-anti-de Sitter black hole and show the relationship with…