New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity

Abstract

A New Taub-NUT black hole in multiple coordinate systems is solved and analyzed. This black-hole is found to be an extension of the Clifton-Barrow metric for the specific case that $\delta =-1/2$. We look at physical properties such as test particle orbits, thermodynamics, and various space-time limits. In addition, we show an Eguchi-Hanson type-II $f(R)$ solution related to the found Taub-NUT framework.

arXiv comment11 pages, 1 figure

References in corpus (60)

• f(R) Theories Of Gravity
• Can modified gravity explain accelerated cosmic expansion?
• Observational constraints of $f(Q)$ gravity
• f(R) Gravity and scalar-tensor theory
• The Power of General Relativity
• Matter instability in modified gravity
• Energy Conditions in $f(Q)$ gravity
• Black holes in $f(\mathbb{Q})$ Gravity
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Static Spherically Symmetric Solutions in F(R) Gravity
• Large N Phases, Gravitational Instantons and the Nuts and Bolts of AdS Holography
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• Dynamical surface gravity
• Supergravity Solution of Intersecting Branes and AdS/CFT with Flavor
• Rescaled Einstein-Hilbert Gravity from $f(R)$ Gravity: Inflation, Dark Energy and the Swampland Criteria
• Charged compact star in $f(R,T)$ gravity in Tolman-Kuchowicz spacetime
• Thermodynamics of Lorentzian Taub-NUT spacetimes
• New observational constraints on $f(T)$ gravity through gravitational-wave astronomy
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Traversable Wormhole Solutions in $f(R)$ Gravity Via Karmarkar Condition
• Local symmetries and physical degrees of freedom in $f(T)$ gravity: a Dirac Hamiltonian constraint analysis
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Horizon thermodynamics in $f(R)$ theory
• Boundary Term in Metric f(R) Gravity: Field Equations in the Metric Formalism
• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Inflation in $f(R,T)$ Gravity
• Einstein-Maxwell gravitational instantons and five dimensional solitonic strings
• Comprehensive Analysis of a Non-Singular Bounce in $f(R,T)$ Gravitation
• Data-driven Reconstruction of the Late-time Cosmic Acceleration with f(T) Gravity
• Supersymmetric sigma-models, twistors, and the Atiyah-Hitchin metric
• Foundational issues in f(T) gravity theory
• Forecast constraints on $f(T)$ gravity with gravitational waves from compact binary coalescences
• Observational Constraint in $f(R,T)$ gravity from the cosmic chronometers and some standard distance measurement parameters
• Reconstruction of quintessence field for the THDE with swampland correspondence in $f(R,T)$ gravity
• Spherically symmetric Einstein-Maxwell theory and loop quantum gravity corrections
• Stable and self consistent charged gravastar model within the framework of $f(R,T)$ gravity
• Big Bang Nucleosynthesis and Entropy Evolution in $f(R,T)$ Gravity
• f(Lovelock) theories of gravity
• Approaches to spherically symmetric solutions in f(T) gravity
• Ehlers transformations as a tool for constructing accelerating NUT black holes
• Stability of Squashed Kaluza-Klein Black Holes
• AdS-Taub-NUT spacetimes and exact black bounces with scalar hair
• Motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime and analytical solutions
• Thermodynamics of Taub-NUT and Plebanski Solutions
• Horizon Thermodynamics from Einstein's Equation of State
• Curved Branes in AdS Einstein-Maxwell Gravity and Killing Spinors
• Gravitational Instantons from Minimal Surfaces
• Numerical solutions of Einstein's equations for cosmological spacetimes with spatial topology S3 and symmetry group U(1)
• Gravitational instantons, self-duality and geometric flows
• Rotating charged AdS solutions in quadratic $f(T)$ gravity
• The little rip in classical and quantum $f(R)$ cosmology
• Matching tetrads in f(T) gravity
• Quantum Dynamics of the Isotropic Universe in the Metric f(R) Gravity
• Exact helicoidal and catenoidal solutions in Einstein-Maxwell theory
• A New Class of Exact Solutions in Einstein-Maxwell-dilaton Theory
• On "Rotating charged AdS solutions in quadratic $f(T)$ gravity": New rotating solutions
• Exact Solutions to Einstein-Maxwell theory on Eguchi-Hanson Space
• New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity