Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields

Abstract

The solutions of $U(1)$ gauge-gravity coupling is one of the interesting models for analyzing the semi-classical nature of spacetime. In this regard, different well-known singular and nonsingular solutions have been taken into account. The paper at hand investigates the geometrical properties of the magnetic solutions by considering Maxwell and power Maxwell invariant (PMI) nonlinear electromagnetic fields in the context of massive gravity. These solutions are free of curvature singularity, but have a conic one which leads to presence of deficit/surplus angle. The emphasize is on modifications that these generalizations impose on deficit angle which determines the total geometrical structure of the solutions, hence, physical/gravitational properties. It will be shown that depending on the background spacetime (being anti de Sitter (AdS) or de Sitter (dS)), these generalizations present different effects and modify the total structure of the solutions differently.

arXiv comment12 pages, 5 figures, Matches published version

References in corpus (93)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Large N Field Theories, String Theory and Gravity
• Resummation of Massive Gravity
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Massive Gravity
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Regular black holes with a nonlinear electrodynamics source
• Ghost-free Massive Gravity with a General Reference Metric
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Ghost free Massive Gravity in the Stückelberg language
• Thermodynamics of Black Holes in Massive Gravity
• Higher-dimensional black holes with a conformally invariant Maxwell source
• P-V criticality in the extended phase space of black holes in massive gravity
• Born-Infeld Black Holes in (A)dS Spaces
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Charged black points in General Relativity coupled to the logarithmic $U(1)$ gauge theory
• Asymptotic charged BTZ black hole solutions
• Quantum theory of the third-order nonlinear electrodynamic effects in graphene
• Cosmological perturbations of self-accelerating universe in nonlinear massive gravity
• Lovelock black holes with a nonlinear Maxwell field
• Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• Critical phenomena in Born-Infeld AdS black holes
• CMB constraints on cosmic strings and superstrings
• Structure of neutron, quark and exotic stars in Eddington-inspired Born-Infeld gravity
• A model of nonlinear electrodynamics
• Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
• Thermodynamics of Born-Infeld-anti-de Sitter black holes in the grand canonical ensemble
• Stability properties of black holes in self-gravitating nonlinear electrodynamics
• Topological charged black holes in massive gravity's rainbow and their thermodynamical analysis through various approaches
• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• Regular black holes in $f(T)$ Gravity through a nonlinear electrodynamics source
• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-nonlinear Maxwell Gravity
• Holographic Superconductors with Power-Maxwell field
• Lovelock black holes with a power-Yang-Mills source
• 2+1-dimensional electrically charged black holes in Einstein - Power Maxwell Theory
• Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source
• Gravitational lensing by cosmic strings: what we learn from the CSL-1 case
• Neutron stars structure in the context of massive gravity
• Nonlinear $\arcsin$-electrodynamics and asymptotic Reissner-Nordström black holes
• Searches for topological defect dark matter via non-gravitational signatures
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
• Extending the velocity-dependent one-scale model for domain walls
• Thermodynamic instability of nonlinearly charged black holes in gravity's rainbow
• Thermodynamics of topological nonlinear charged Lifshitz black holes
• Geometrical thermodynamics and P-V criticality of the black holes with power-law Maxwell field
• Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• Removing black-hole singularities with nonlinear electrodynamics
• Cosmologies of extended massive gravity
• Field-strength correlators in $SU(2)$ gauge theory
• Extended phase space of Black Holes in Lovelock gravity with nonlinear electrodynamics
• Magnetic strings in anti-de Sitter General Relativity
• Phase structure of the Born-Infeld-anti-de Sitter black holes probed by non-local observables
• Thermodynamics of Einstein-Born-Infeld black holes in three dimensions
• Phase transition of charged Black Holes in Brans-Dicke theory through geometrical thermodynamics
• Gravity and Signature Change
• Signature change events: A challenge for quantum gravity?
• Effects of power-law Maxwell field on the Van der Waals like phase transition of higher dimensional dilaton black holes
• Nonlinear Electromagnetic Quasinormal Modes and Hawking Radiation of A Regular Black Hole with Magnetic Charge
• Black hole solutions in de Rham-Gabadadze-Tolley massive gravity
• Magnetic Branes Supported by Nonlinear Electromagnetic Field
• Current-Carrying Cosmic Strings in Scalar-Tensor Gravities
• Ghost free massive gravity with singular reference metrics
• Asymptotically anomalous black hole configurations in gravitating nonlinear electrodynamics
• Nonlinearly charged Lifshitz black holes for any exponent $z>1$
• On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity
• Three dimensional nonlinear magnetic AdS solutions through topological defects
• Searching for Cosmic Strings in CMB Anisotropy Maps using Wavelets and Curvelets
• Detecting and distinguishing topological defects in future data from the CMBPol satellite
• A new Einstein-nonlinear electrodynamics solution in 2+1-dimensions
• Hartle-Hawking no-boundary proposal in dRGT massive gravity: Making inflation exponentially more probable
• Superconducting Cosmc Strings and Primordial Magnetic Fields
• Einstein Gravity, Massive Gravity, Multi-Gravity and Nonlinear Realizations
• Hyperons in neutron stars within Eddington-inspired Born-Infeld theory of gravity
• Black holes in nonlinear electrodynamics: quasi-normal spectra and parity splitting
• Three dimensional magnetic solutions in massive gravity with (non)linear field
• Horizonless Rotating Solutions in $(n+1)$-dimensional Einstein-Maxwell Gravity
• Extra-dimensional cosmology with domain-wall branes
• Probing nonlinear electrodynamics in slowly rotating spacetimes through neutrino astrophysics
• From topological to non-topological solitons: kinks, domain walls and Q-balls in a scalar field model with non-trivial vacuum manifold
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Superconducting cosmic string in Brans-Dicke theory
• Domain walls and gravitational waves in the Standard Model
• Comment on `Smooth and Discontinuous Signature Type Change in General Relativity'
• Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta Function and Nonabelian Born-Infeld Action
• Four-dimensional black holes with scalar hair in nonlinear electrodynamics
• Improved calculation of the gravitational wave spectrum from kinks on infinite cosmic strings
• Extended DBI massive gravity with generalized fiducial metric
• Dark Matter from Decaying Topological Defects
• Tube dislocations in gravity
• The energy and stability of D-term strings
• Semiclassical gravitational effects near a singular magnetic flux
• Dynamical Domain Wall and Localization

Cited by in corpus (5)

• Introductory Notes on Non-linear Electrodynamics and its Applications
• Novel nonlinear electrodynamics black hole and related phenomena in the extended thermodynamics
• Exact black hole solutions with non-linear electrodynamic field
• Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity
• Towards a sound massive cosmology