MultiNUT-AdS spacetimes.
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Date
2026
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad de Concepción
Abstract
Los agujeros negros suelen describirse como objetos “calvos”. De acuerdo con el teorema de no-pelo, quedan completamente caracterizados por solo tres parámetros: su masa (M), momento angular (J) y carga eléctrica (Q). Sin embargo, los teoremas de no-existencia adquieren especial relevancia cuando se intenta evadir esta conclusión mediante la modificación o relajación de algunas de las hipótesis subyacentes al teorema. En este contexto, las soluciones estacionarias —y en particular los agujeros negros en rotación— constituyen valiosos laboratorios teóricos para explorar estas posibilidades. En esta línea, Mann y Stelea generalizaron el espaciotiempo de Taub–NUT introduciendo múltiples y distintas cargas NUT en dimensiones superiores, lo que conduce a soluciones que denominaremos multi-NUT. Estos parámetros adicionales introducen de manera efectiva planos de rotación extra en el espacio-tiempo. Mostraron que las soluciones multi-NUT en Relatividad General con constante cosmológica existen únicamente si se modifica la normalización de las variedades Einstein–Kähler asociadas. En este trabajo, evitamos las obstrucciones representadas por su estrategia. Para ello introducimos campos escalares mínimamente acoplados con perfiles axiónicos, los cuales sostienen la geometría preservando la normalización estándar de las variedades Einstein–Kähler. Además, mostramos que esta misma geometría surge naturalmente dentro de un sector particular de la gravedad con curvatura cuadrática. Concluimos con una versión de los monopolos de Kaluza-Klein con base planar en AdS con distintas cargas magnéticas.
Black holes are often described as “bald” objects. According to the no-hair theorem, they are completely characterized by only three parameters: their mass (M), angular momentum (J), and electric charge (Q). However, no-go theorems become particularly relevant when one attempts to evade this conclusion by modifying or relaxing some of the assumptions underlying the theorem. In this context, stationary solutions—and in particular rotating black holes—provide valuable theoretical laboratories to explore such possibilities. In this direction, Mann and Stelea generalized the Taub–NUT spacetime by introducing multiple and independent NUT charges in higher dimensions, leading to solutions that we will refer to as multi-NUT geometries. These additional parameters effectively introduce extra rotation planes in the spacetime. They showed that multi-NUT solutions in General Relativity with a cosmological constant exist only if the normalization of the associated Einstein–Kähler manifolds is modified. In this work, we circumvent the obstructions inherent in their construction. To this end, we introduce minimally coupled scalar fields with axionic profiles, which support the geometry while preserving the standard normalization of the Einstein-Kähler manifolds. Furthermore, we show that the same geometry naturally arises within a particular sector of quadratic curvature gravity. We conclude by presenting a version of Kaluza-Klein monopoles with planar base in AdS, carrying distinct magnetic charges.
Black holes are often described as “bald” objects. According to the no-hair theorem, they are completely characterized by only three parameters: their mass (M), angular momentum (J), and electric charge (Q). However, no-go theorems become particularly relevant when one attempts to evade this conclusion by modifying or relaxing some of the assumptions underlying the theorem. In this context, stationary solutions—and in particular rotating black holes—provide valuable theoretical laboratories to explore such possibilities. In this direction, Mann and Stelea generalized the Taub–NUT spacetime by introducing multiple and independent NUT charges in higher dimensions, leading to solutions that we will refer to as multi-NUT geometries. These additional parameters effectively introduce extra rotation planes in the spacetime. They showed that multi-NUT solutions in General Relativity with a cosmological constant exist only if the normalization of the associated Einstein–Kähler manifolds is modified. In this work, we circumvent the obstructions inherent in their construction. To this end, we introduce minimally coupled scalar fields with axionic profiles, which support the geometry while preserving the standard normalization of the Einstein-Kähler manifolds. Furthermore, we show that the same geometry naturally arises within a particular sector of quadratic curvature gravity. We conclude by presenting a version of Kaluza-Klein monopoles with planar base in AdS, carrying distinct magnetic charges.
Description
Tesis presentada para optar al grado de Magíster en Ciencias con mención en Física.
Keywords
Black holes (Astronomy), Spacetime, General relativity (Physics)