2025/07/21 by Raúl Carballo-Rubio, Carballo-Rubio, Raúl · 9 citations
Earth and Planetary Sciences · Physics and Astronomy · #Black hole (networking) #Cosmology and Gravitation Theories #Einstein field equations #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Geophysics and Gravity Measurements #Gravitation #Gravitational field #High Energy Physics - Theory (hep-th) #Introduction to the mathematics of general relativity #Mathematics of general relativity #Numerical relativity #Pulsars and Gravitational Waves Research #Tensor (intrinsic definition) #Two-body problem in general relativity
paper · open access · doi:10.48550/arxiv.2507.15920
published in DIGITAL.CSIC (Spanish National Research Council (CSIC)) (Consejo Superior de Investigaciones Científicas)
openalex publication_date 2025/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/09
According to general relativity, black holes are incomplete, which prevents developing a complete physical description of their dynamical formation and evolution once quantum effects are taken into account. Theories beyond general relativity may provide a more complete description of black hole interiors. In this work, the most general form of the field equations for spherically symmetric gravitational fields, in which the Einstein tensor is deformed into a conserved tensor constructed from up to second-order derivatives of the metric, is described. These equations set up the stage for the study of the dynamics of spherically symmetric spacetimes beyond general relativity, providing tools for the theoretical exploration of a paradigm of black hole physics free of the incompleteness characteristic of Einstein's theory. A general proof of the Birkhoff--Jebsen theorem for vacuum solutions, and the construction of field equations describing the effective geometrodynamics of regular black holes interacting with matter, are discussed.