A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering known models and producing new families with hypergeometric and other closed forms.
Classical and semi-classical energy conditions
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abstract
The standard energy conditions of classical general relativity are (mostly) linear in the stress-energy tensor, and have clear physical interpretations in terms of geodesic focussing, but suffer the significant drawback that they are often violated by semi-classical quantum effects. In contrast, it is possible to develop non-standard energy conditions that are intrinsically non-linear in the stress-energy tensor, and which exhibit much better well-controlled behaviour when semi-classical quantum effects are introduced, at the cost of a less direct applicability to geodesic focussing. In this article we will first review the standard energy conditions and their various limitations. (Including the connection to the Hawking--Ellis type I, II, III, and IV classification of stress-energy tensors). We shall then turn to the averaged, nonlinear, and semi-classical energy conditions, and see how much can be done once semi-classical quantum effects are included.
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Regular hairy black holes are built via gravitational decoupling by deforming Minkowski vacuum under weak energy condition and well-defined horizon constraints, recovering standard black hole metrics as limits.
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Families of regular spacetimes and energy conditions
A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering known models and producing new families with hypergeometric and other closed forms.
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Regular hairy black holes through gravitational decoupling method
Regular hairy black holes are built via gravitational decoupling by deforming Minkowski vacuum under weak energy condition and well-defined horizon constraints, recovering standard black hole metrics as limits.
- Regular hairy black holes by gravitational decoupling: Bardeen and Minkowski-core seeds
- Energy conditions in static, spherically symmetric spacetimes and effective geometries