General Relativity is a cornerstone of modern physics and has now achieved the status of precision science. Despite its success in explaining a wide range of phenomena, significant open questions remain about the fundamental nature of gravity. These unresolved issues suggest the need for a quantum extension of Einstein's theory, which has remained elusive until now. \\ This thesis explores various instances of quantum-gravity effects in different setups, focusing on their impact on the structure of black-hole horizons, spacetime singularities and the observable phenomenology. A quantum-corrected BTZ black hole constructed on a brane in AdS4 spacetime is first examined, providing evidence that these quantum effects strengthen the weak cosmic censorship, thereby enhancing the stability of the black-hole horizon. Subsequently, the spacetime geometry generated by a point-like source in a superposition of different locations is considered. It is shown that the quantum corrections, induced by the position uncertainty, excise the conventional Schwarzschild singularity and generate a regular geometry interpolating between a nonsingular black hole and a traversable wormhole. Furthermore, a broad class of de-Sitter-core nonsingular black-hole models is constructed, which are sourced by an anisotropic fluid, assumed to encode quantum-gravity corrections. It is shown that these solutions have several interesting features: presence of an additional and possibly super-planckian "quantum” hair, a regular, extremal black-hole state and a thermodynamic phase transition favoring black holes with super-planckian hairs. A two-dimensional model of a regular black hole retaining these features is then used to address the information loss issue: the evaporation process at semiclassical level is examined, including backreaction effects. It is found that the radiation entanglement entropy decreases after reaching a maximum and that the endpoint of the evaporation is a regular, zero-entropy state. This suggests a profound (and often overlooked) connection between the resolution of singularities and the information problem. Some new regular solutions of Einstein-scalar gravity in four dimensions are also analyzed, formulating and extending no-go theorems on their existence. Additionally, certain unstable, regular, horizonless scalar solutions are identified that describe the nucleation of a dS4 out of an AdS4 spacetime in the UV regime, with potential implications for characterizing string-theory vacua and cosmological inflation. Finally, on the phenomenological side, a way to constrain the strength of quantum-gravity corrections using data from the S2 star orbit around SgrA* is explored. Additionally, another novel approach to test the regular-black-hole paradigm is proposed, which is based on a nontrivial coupling of nonsingular black holes with the large-scale cosmological dynamics. Although observational evidence for this effect remains contentious and debated, confirmation of such coupling would provide compelling evidence for the nonsingular nature of black holes.
Quantum Corrected and Nonsingular Black Holes: Theoretical and Phenomenological Aspects
SANNA, ANDREA PIERFRANCESCO
2025
Abstract
General Relativity is a cornerstone of modern physics and has now achieved the status of precision science. Despite its success in explaining a wide range of phenomena, significant open questions remain about the fundamental nature of gravity. These unresolved issues suggest the need for a quantum extension of Einstein's theory, which has remained elusive until now. \\ This thesis explores various instances of quantum-gravity effects in different setups, focusing on their impact on the structure of black-hole horizons, spacetime singularities and the observable phenomenology. A quantum-corrected BTZ black hole constructed on a brane in AdS4 spacetime is first examined, providing evidence that these quantum effects strengthen the weak cosmic censorship, thereby enhancing the stability of the black-hole horizon. Subsequently, the spacetime geometry generated by a point-like source in a superposition of different locations is considered. It is shown that the quantum corrections, induced by the position uncertainty, excise the conventional Schwarzschild singularity and generate a regular geometry interpolating between a nonsingular black hole and a traversable wormhole. Furthermore, a broad class of de-Sitter-core nonsingular black-hole models is constructed, which are sourced by an anisotropic fluid, assumed to encode quantum-gravity corrections. It is shown that these solutions have several interesting features: presence of an additional and possibly super-planckian "quantum” hair, a regular, extremal black-hole state and a thermodynamic phase transition favoring black holes with super-planckian hairs. A two-dimensional model of a regular black hole retaining these features is then used to address the information loss issue: the evaporation process at semiclassical level is examined, including backreaction effects. It is found that the radiation entanglement entropy decreases after reaching a maximum and that the endpoint of the evaporation is a regular, zero-entropy state. This suggests a profound (and often overlooked) connection between the resolution of singularities and the information problem. Some new regular solutions of Einstein-scalar gravity in four dimensions are also analyzed, formulating and extending no-go theorems on their existence. Additionally, certain unstable, regular, horizonless scalar solutions are identified that describe the nucleation of a dS4 out of an AdS4 spacetime in the UV regime, with potential implications for characterizing string-theory vacua and cosmological inflation. Finally, on the phenomenological side, a way to constrain the strength of quantum-gravity corrections using data from the S2 star orbit around SgrA* is explored. Additionally, another novel approach to test the regular-black-hole paradigm is proposed, which is based on a nontrivial coupling of nonsingular black holes with the large-scale cosmological dynamics. Although observational evidence for this effect remains contentious and debated, confirmation of such coupling would provide compelling evidence for the nonsingular nature of black holes.File | Dimensione | Formato | |
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https://hdl.handle.net/20.500.14242/190136
URN:NBN:IT:UNICA-190136