Trace anomaly contributions to semi-classical wormhole geometries

Abstract

We investigate wormhole solutions within the framework of the semi-classical Einstein equations in the presence of the conformal anomaly (or trace anomaly). These solutions are sourced by a stress-energy tensor (SET) derived from the trace anomaly, and depend on two positive coefficients, $\alpha$ and $\lambda$, determined by the matter content of the theory and on the degrees of freedom of the involved quantum fields. For a Type B anomaly ($\alpha =0$), we obtain wormhole geometries assuming a constant redshift function and show that the SET components increase with the parameter $\lambda$. In the case of a Type A anomaly ($\lambda =0$), we generalize previously known solutions, yielding a family of geometries that includes Lorentzian wormholes, naked singularities, and the Schwarzschild black hole. Using isotropic coordinates, we identify parameter choices that produce traversable wormhole solutions. Extending to the full trace-anomaly contribution, we solve the differential equation near the throat to obtain the redshift function and demonstrate that both the Ricci and Kretschmann scalars remain finite at the throat. We further analyze the trajectories of null and timelike particles, showing that the height and width of the effective potential for null geodesics increase monotonically with $\alpha$, while the innermost stable circular orbit (ISCO) radius also grows with larger $\alpha$. These results illustrate the rich interplay between trace anomaly effects and the structure and dynamics of wormhole spacetimes.

19 pages, 8 figures. V2: 20 pages, 8 figures; discussion and references added. Version accepted for publication in PRD

References in corpus (98)

• Gravitational Vacuum Condensate Stars
• Traversable wormholes with arbitrarily small energy condition violations
• Wormhole geometries in f(R) modified theories of gravity
• Stable gravastars - an alternative to black holes?
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Black-bounce to traversable wormhole
• Geometric structure of the generic static traversable wormhole throat
• Inflationary cosmology in modified gravity theories
• Modified-gravity wormholes without exotic matter
• Stable dark energy stars
• Linearized stability analysis of thin-shell wormholes with a cosmological constant
• Gravitational Condensate Stars: An Alternative to Black Holes
• Stability of phantom wormholes
• Modelling wormholes in $f(R,T)$ gravity
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• Asymptotically Safe Lorentzian Gravity
• Trace anomaly driven inflation
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Stable Lorentzian Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
• Static wormhole solution for higher-dimensional gravity in vacuum
• Lambert W Function for Applications in Physics
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• Brans-Dicke wormholes in the Jordan and Einstein frames
• Cosmological Dark Energy: Prospects for a Dynamical Theory
• Euclidean wormholes, baby universes, and their impact on particle physics and cosmology
• Strong gravitational lensing by wormholes
• Surface stresses on a thin shell surrounding a traversable wormhole
• Conformal Invariance, Dark Energy, and CMB Non-Gaussianity
• Quantifying energy condition violations in traversable wormholes
• New asymptotically flat phantom wormhole solutions
• Brans wormholes
• On wormhole formation in $f(\text{R},\text{T})$ gravity: varying Chaplygin gas and barotropic fluid
• Wormholes in 4D Einstein-Gauss-Bonnet Gravity
• Conformal Anomaly for Dilaton Coupled Theories from AdS/CFT Correspondence
• Energy conditions, traversable wormholes and dust shells
• Wormhole throats in $R^m$ gravity
• Evolving wormhole geometries within nonlinear electrodynamics
• On Wormhole Throats in $f(R)$ Gravity Theory
• I-Love-Q relations for a gravastar and the approach to the black-hole limit
• General class of vacuum Brans-Dicke wormholes
• Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
• Wormholes, the weak energy condition, and scalar-tensor gravity
• Reflection-asymmetric wormholes and their double shadows
• Scalar-Tensor Teleparallel Wormholes by Noether Symmetries
• The Finslerian wormhole models
• Stability of thin-shell wormholes supported by ordinary matter in Einstein-Maxwell-Gauss-Bonnet gravity
• R=0 spacetimes and self-dual Lorentzian wormholes
• Wormhole solutions in $f(R,L_m)$ gravity
• Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
• Anomaly induced effective actions and Hawking radiation
• Deflection of light by black holes and massless wormholes in massive gravity
• N-dimensional static and evolving Lorentzian wormholes with cosmological constant
• Stellar equilibrium in semiclassical gravity
• Higher-dimensional thin-shell wormholes in third-order Lovelock gravity
• Higher Dimensional Wormhole Geometries with Compact Dimensions
• Seeking exactly solvable models of traversable wormholes supported by phantom energy
• Stress Tensor from the Trace Anomaly in Reissner-Nordstrom Spacetimes
• Can primordial wormholes be induced by GUTs at the early Universe?
• Relativistic Bose--Einstein condensates thin-shell wormholes
• Generic thin-shell gravastars
• Higher dimensional thin-shell wormholes in Einstein-Yang-Mills-Gauss-Bonnet gravity
• Novel third-order Lovelock wormhole solutions
• Semiclassical zero-temperature corrections to Schwarzschild spacetime and holography
• Lorentzian Wormholes in Lovelock Gravity
• On the possibility of wormhole formation in the galactic halo due to dark matter Bose-Einstein condensates
• Conical Morris-Thorne Wormholes with a Global Monopole Charge
• Lessons on Eternal Traversable Wormholes in AdS
• Brans-Dicke theory: Jordan vs Einstein Frame
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• From the Flamm-Einstein-Rosen bridge to the modern renaissance of traversable wormholes
• Wormhole Geometry and Noether Symmetry in f(R) Gravity
• Static Black Holes With Back Reaction From Vacuum Energy
• Obstruction of black hole singularity by quantum field theory effects
• Semiclassical constant-density spheres in a regularized Polyakov approximation
• Schwarzschild geometry counterpart in semiclassical gravity
• Semiclassical relativistic stars
• Brans-Dicke Wormhole Revisited
• Quantum corrections to the Schwarzschild metric from vacuum polarization
• Electrically Charged Cold Black Holes in Scalar-Tensor Theories
• Static Black Hole and Vacuum Energy: Thin Shell and Incompressible Fluid
• The Effective Theory of Gravity and Dynamical Vacuum Energy
• Scalar Gravitational Waves in the Effective Theory of Gravity
• Reissner-Nordström geometry counterpart in semiclassical gravity
• Static quantum corrections to the Schwarzschild spacetime
• Rotating black holes in semiclassical gravity
• New Features of Extended Wormhole Solutions in the Scalar Field Gravity Theories
• Wormhole solutions supported by interacting dark matter and dark energy
• Effective action and black hole solutions in asymptotically safe quantum gravity
• Back Reaction of 4D Conformal Fields on Static Geometry
• Unified approach to study quantum properties of primordial black holes, wormholes and of quantum cosmology
• A Nonsingular Brans Wormhole: An Analogue to Naked Black Holes
• Generalized Ellis-Bronnikov wormholes in asymptotically safe gravity
• Kerr-Vaidya type radiating black holes in semi-classical gravity with conformal anomaly
• Vacuum semiclassical gravity does not leave space for safe singularities
• Dark energy from the gas of wormholes
• Finite Action Principle and wormholes