Presents classical GR solutions for black holes enveloped by ultra-relativistic orbiting particle shells that extend the photon sphere to arbitrary depth while remaining optically indistinguishable from standard black holes.
Canonical reference
Modeling the fifth dimension with scalars and gravity
Canonical reference. 86% of citing Pith papers cite this work as background.
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Pith papers citing it
Background
86% of classified citations
abstract
A method for obtaining solutions to the classical equations for scalars plus gravity in five dimensions is applied to some recent suggestions for brane-world phenomenology. The method involves only first order differential equations. It is inspired by gauged supergravity but does not require supersymmetry. Our first application is a full non-linear treatment of a recently studied stabilization mechanism for inter-brane spacing. The spacing is uniquely determined after conventional fine-tuning to achieve zero four-dimensional cosmological constant. If the fine-tuning is imperfect, there are solutions in which the four-dimensional branes are de Sitter or anti-de Sitter spacetimes. Our second application is a construction of smooth domain wall solutions which in a well-defined limit approach any desired array of sharply localized positive-tension branes. As an offshoot of the analysis we suggest a construction of a supergravity c-function for non-supersymmetric four-dimensional renormalization group flows. The equations for fluctuations about an arbitrary scalar-gravity background are also studied. It is shown that all models in which the fifth dimension is effectively compactified contain a massless graviton. The graviton is the constant mode in the fifth dimension. The separated wave equation can be recast into the form of supersymmetric quantum mechanics. The graviton wave-function is then the supersymmetric ground state, and there are no tachyons.
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citation-polarity summary
representative citing papers
For m²L²=-2 in AdS black holes with integrable mixed boundary conditions, the cubic coefficient in the near-boundary expansion of the solution-dependent W(φ) is fixed by the boundary deformation to ensure a well-posed variational principle and finite renormalized action.
Thick braneworlds feature fragile quasinormal mode spectra due to a butterfly effect but maintain a resilient early ringdown, keeping the standard gravitational wave fingerprint usable.
The graviscalar quasinormal mode spectrum and late-time power-law tails of a Rastall thick brane are computed numerically, showing that the Rastall parameter λ controls mode lifetimes and tail exponents.
Perturbations on a thick de Sitter brane induce a real part in previously purely imaginary quasinormal modes, creating intermediate oscillatory signatures in time-domain signals while late-time behavior stays zero-mode dominated.
A 5D bottom-up holographic model with a theta-sourced scalar reproduces the lattice result that the deconfinement temperature drops quadratically with θ/N, and predicts θ-dependence of the transition rate.
In three Lifshitz-like black brane models, the null energy condition and third law of thermodynamics show no correlation in two cases but the former implies the latter in the third.
In a thick braneworld model with f(T) = T + α T², the parameter α induces brane splitting and alters the decay rates of quasinormal modes, with two numerical methods agreeing on the low-overtone spectrum.
Soft-wall warped geometries yield rapid, mildly supercooled phase transitions whose TeV-scale gravitational wave signals are accessible to space-based interferometers.
In ghost-free two-scalar f(R) thick branes, internal structure produces no narrow real-axis tensor resonances; quasinormal modes are broad with quality factors 0.9-1.9.
Perturbations induce KK mode mixing resolved by SVD of the Dirac mass matrix, with parity-odd operators preserving Z2 symmetry and parity-even operators breaking it to polarize wavefunctions toward the brane.
citing papers explorer
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On Black Holes Surrounded by Radiation: I. Classical Considerations
Presents classical GR solutions for black holes enveloped by ultra-relativistic orbiting particle shells that extend the photon sphere to arbitrary depth while remaining optically indistinguishable from standard black holes.
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Holographic renormalization and the variational problem for mixed boundary conditions via a solution-dependent superpotential-like function
For m²L²=-2 in AdS black holes with integrable mixed boundary conditions, the cubic coefficient in the near-boundary expansion of the solution-dependent W(φ) is fixed by the boundary deformation to ensure a well-posed variational principle and finite renormalized action.
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Spectral Butterfly Effect and Resilient Ringdown in Thick Braneworlds
Thick braneworlds feature fragile quasinormal mode spectra due to a butterfly effect but maintain a resilient early ringdown, keeping the standard gravitational wave fingerprint usable.
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Quasinormal modes of scalar perturbations in Rastall thick brane
The graviscalar quasinormal mode spectrum and late-time power-law tails of a Rastall thick brane are computed numerically, showing that the Rastall parameter λ controls mode lifetimes and tail exponents.
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Real Part Emergence in Purely Imaginary Quasinormal Modes in Perturbed de Sitter Braneworlds
Perturbations on a thick de Sitter brane induce a real part in previously purely imaginary quasinormal modes, creating intermediate oscillatory signatures in time-domain signals while late-time behavior stays zero-mode dominated.
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Confinement in Holographic Theories at Finite Theta
A 5D bottom-up holographic model with a theta-sourced scalar reproduces the lattice result that the deconfinement temperature drops quadratically with θ/N, and predicts θ-dependence of the transition rate.
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Lifshitz-like Magnetic Black Branes: Third Law of Thermodynamics and the Null Energy Condition
In three Lifshitz-like black brane models, the null energy condition and third law of thermodynamics show no correlation in two cases but the former implies the latter in the third.
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Quasinormal modes of the thick braneworld in $f(T)$ gravity
In a thick braneworld model with f(T) = T + α T², the parameter α induces brane splitting and alters the decay rates of quasinormal modes, with two numerical methods agreeing on the low-overtone spectrum.
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Uncool soft-wall transitions and gravitational waves
Soft-wall warped geometries yield rapid, mildly supercooled phase transitions whose TeV-scale gravitational wave signals are accessible to space-based interferometers.
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Two-scalar-field $f(R)$ Thick Branes, Gravitational Resonances and Quasinormal Modes
In ghost-free two-scalar f(R) thick branes, internal structure produces no narrow real-axis tensor resonances; quasinormal modes are broad with quality factors 0.9-1.9.
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Fermionic Kaluza-Klein mode mixing in braneworlds
Perturbations induce KK mode mixing resolved by SVD of the Dirac mass matrix, with parity-odd operators preserving Z2 symmetry and parity-even operators breaking it to polarize wavefunctions toward the brane.
- Bound states and deconfinement from Romans supergravity with magnetic flux