Roberto Daniel Alba Quiñonez defended his PhD thesis on 11 February 2025 and received an Honorific Mention. Congratulations!
The defense took place at the Unidad Académica de Física in Zacatecas, Zacatecas, Mexico
Roberto Daniel Alba Quiñonez defended his PhD thesis on 11 February 2025 and received an Honorific Mention. Congratulations!
The defense took place at the Unidad Académica de Física in Zacatecas, Zacatecas, Mexico
Title: SCALAR-VACUUM SOLUTIONS FOR GAUSS-BONNET GRAVITY.
Abstract: We present the fundamental ideas necessary to understand the physics of compact objects in various theories of gravity. The main focus of this work is on deriving solutions for static and spherically symmetric objects in Einstein-scalar-Gauss-Bonnet gravity in vacuum. We obtain analytical power series expansions near the origin and at asymptotic distances, verifying the consistency between the two approaches by constructing full numerical solutions. Our analysis reveals that a divergence in the scalar field at 𝑟 = 0 is required to produce non-trivial solutions. By considering a scalar field with a 1/𝑟 dependence near the origin, we demonstrate that the resulting metric components are regular, and the curvature scalars and energy remain finite. For future work, we suggest exploring the connection between these vacuum solutions and known solutions in presence of matter, as well as constructing more realistic non-vacuum solutions.