Regular black holes from higher-derivative effective delta sources
arXiv:2307.12357 · doi:10.1007/978-981-99-1596-5_4
Abstract
Certain approaches to quantum gravity and classical modified gravity theories result in effective field equations in which the original source is substituted by an effective one. In these cases, the occurrence of regular spacetime configurations may be related to the regularity of the effective source, regardless of the specific mechanism behind the regularization. In this chapter, we make an introduction to the effective source formalism applied to higher-derivative gravity. The results presented here, however, can be easily transposed to other frameworks that use similar sources. The generality obtained is also because we consider a general higher-derivative gravity model instead of restricting the analysis to some specific theories. In the first part, we discuss the model in the Newtonian limit, which offers a natural context for introducing effective sources. We show how the regularity properties of the effective sources depend on the behavior of the action's form factor in the ultraviolet regime, which leads to results valid for large families of models (or for families of modified delta sources). Subsequently, we use the general results on the effective sources to construct regular black hole metrics. One of our concerns is the higher-order regularity of the solutions, i.e., the possibility that not only the invariants built with curvature tensors but also the ones with covariant derivatives are regular. In this regard, we present some theorems relating the regularity of sets of curvature-derivative invariants with the regularity properties of the effective sources.
arXiv comment41 pages, 3 figures. Preprint of the invited chapter for the book "Regular Black Holes: Towards a New Paradigm of the Gravitational Collapse" (Ed. C. Bambi, Springer Singapore, 2023). The final authenticated version is available online at http://doi.org/10.1007/978-981-99-1596-5_4
References in corpus (47)
- Formation and evaporation of non-singular black holes
- Noncommutative geometry inspired Schwarzschild black hole
- Towards singularity and ghost free theories of gravity
- Super-renormalizable Quantum Gravity
- Nonlocal Cosmology
- No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
- Black Holes in Higher-Derivative Gravity
- Super-renormalizable & Finite Gravitational Theories
- Some remarks on high derivative quantum gravity
- Black holes in an ultraviolet complete quantum gravity
- Superrenormalizable quantum gravity with complex ghosts
- Spherically Symmetric Solutions in Higher-Derivative Gravity
- Noncommutative geometry inspired dirty black holes
- On singularities of spherically symmetric backgrounds in string theory
- Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
- Not quite a black hole
- Mass-gap for black hole formation in higher derivative and ghost free gravity
- Unitarity, stability and loops of unstable ghosts
- Super-renormalizable or Finite Lee-Wick Quantum Gravity
- On the quantum field theory of the gravitational interactions
- Behavior of the Newtonian potential for ghost-free gravity and singularity-free gravity
- Quantum Corrected Black Holes from String T-Duality
- Perturbative unitarity of Lee-Wick quantum field theory
- Head-on collision of ultrarelativistic particles in ghost-free theories of gravity
- Low-energy effects in a higher-derivative gravity model with real and complex massive poles
- The gravitational field of static p-branes in linearized ghost-free gravity
- On Newtonian singularities in higher derivative gravity models
- On the cancellation of Newtonian singularities in higher-derivative gravity
- On the gravitational seesaw in higher-derivative gravity
- Self-Completeness and the Generalized Uncertainty Principle
- The Newtonian limit of fourth and higher order gravity
- On the fate of singularities and horizons in higher derivative gravity
- Explicit black hole solutions in higher-derivative gravity
- Characterizing black hole metrics in quadratic gravity
- Effective delta sources and regularity in higher-derivative and ghost-free gravity
- Can static regular black holes form from gravitational collapse?
- Exact black holes in quadratic gravity with any cosmological constant
- Weak-field limit and regular solutions in polynomial higher-derivative gravities
- Features and stability analysis of non-Schwarzschild black hole in quadratic gravity
- Action principle selection of regular black holes
- Gravitational Friedel oscillations in higher-derivative and infinite-derivative gravity?
- Higher-order regularity in local and nonlocal quantum gravity
- Lee-Wick Black Holes
- The gravitational field of a star in quadratic gravity
- Light bending by a slowly rotating source in quadratic theories of gravity
- Newtonian potential in higher-derivative quantum gravity
- 2-2-holes simplified