On wormhole formation in $f(\text{R},\text{T})$ gravity: varying Chaplygin gas and barotropic fluid

Abstract

Formation of specific static wormhole models is discussed, by assuming an $f(\text{R},\text{T})=R+2\lambda T$ extended theory of gravity, $T=-\rho +P_r+2P_l$ being the trace of the energy momentum tensor. In the first part, wormhole solutions are constructed imposing that the radial pressure admits an equation of state corresponding to a varying Chaplygin gas. Two forms for the varying Chaplygin gas are considered, namely $P_r=-Bb(r{)}^u/{\rho }^{\alpha }$ and $P_r=-BR(r{)}^m/{\rho }^{\alpha }$, respectively. In the second part, the wormhole models are constructed assuming that the radial pressure can be described by a varying barotropic fluid. In particular, $P_r=\omega b(r{)}^v\rho$ and $P_r=\hat{\omega }{r}^{k}R(r{)}^{\eta }\rho$ are considered, respectively, leading to two additional, traversable wormhole models. In all cases, $b(r)$ is the shape function, and $R(r)$ the Ricci scalar obtained from the wormhole metric for a redshift function equal to $1$. With the help of specific examples, it is demonstrated that the shape functions of the exact wormhole models previously constructed do obey the necessary metric conditions. The same energy conditions help reveal the physical properties of these models. A general feature is the violation of the NEC~($\rho +P_i\ge 0$) in terms of the radial pressure $P_r$ at the throat of the wormhole. For some of the models, one can satisfy the NEC at the throat while a violation of the DEC~($\rho -P_i\ge 0$) occurs. To summarize, exact wormhole models can be constructed with a possible violation of the NEC and DEC at the throat of the wormhole, while being $\rho \ge 0$. Thus, the interesting feature appears that one has a violation of the WEC~($\rho \ge 0$ and $\rho +P_i\ge 0$) not related to the energy density behavior (the index i, being r resp. l, indicates radial resp. lateral pressure).

arXiv comment14 pages, 7 figures, to appear in PRD

References in corpus (69)

• Planck 2015 results. XIII. Cosmological parameters
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Modified teleparallel gravity: inflation without inflaton
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• f(R,L_m) gravity
• Matter Bounce Cosmology with the f(T) Gravity
• Cosmological perturbations in f(T) gravity
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Further stable neutron star models from f(R) gravity
• Dynamic wormholes, anti-trapped surfaces, and energy conditions
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• Viscous Cosmology for Early- and Late-Time Universe
• Black Holes in f(R) theories
• Modelling wormholes in $f(R,T)$ gravity
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Dark Matter From f(R,T) Gravity
• The realistic models of relativistic stars in f(R) = R + alpha R^2 gravity
• Gravastars in $f(R,\mathcal{T})$ gravity
• Wormhole Geometries In $f(R,T)$ Gravity
• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
• Collapsing spherical stars in f(R) gravity
• Cosmological coincidence problem in interacting dark energy models
• Dynamic wormholes
• Bouncing cosmology with future singularity from modified gravity
• Stability of the Einstein static Universe in $f(R,T)$ gravity
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Singular Inflationary Universe from $F(R)$ Gravity
• Magnetic Neutron Stars in f(R) gravity
• Unifying inflation with dark energy in modified F(R) Horava-Lifshitz gravity
• $f(T)$ gravitational baryogenesis
• Existence of stable wormholes on a noncommutative-geometric background in modified gravity
• Constraining interacting dark energy models with latest cosmological observations
• N-dimensional static and evolving Lorentzian wormholes with cosmological constant
• Cosmological Evolution in f(R,T) theory with Collisional Matter
• Wormhole with varying cosmological constant
• Inflationary cosmology in unimodular $F(T)$ gravity
• $f(R)$ gravity solutions for evolving wormholes
• Can primordial wormholes be induced by GUTs at the early Universe?
• Thermodynamic geometry of black holes in f(R) gravity
• F(T) gravity and k-essence
• Self-similar cosmological solutions with dark energy. II: black holes, naked singularities and wormholes
• Exacerbating the cosmological constant problem with interacting dark energy
• Two-fluid evolving Lorentzian wormholes
• Wormhole Geometry and Noether Symmetry in f(R) Gravity
• On a holographic dark energy model with a Nojiri-Odintsov cut-off in general relativity
• Logarithmic corrected Polynomial $f(R)$ inflation mimicking a cosmological constant
• Phantom evolving wormholes with big rip singularities
• Self-similar cosmological solutions with dark energy. I: formulation and asymptotic analysis
• Dynamic wormholes with particle creation mechanism
• Non-minimal Coupling of Torsion-matter Satisfying Null Energy Condition for Wormhole Solutions
• Interacting varying Ghost Dark energy models in General Relativity
• On a phenomenology of the accelerated expansion with a varying ghost dark energy
• Mutually interacting Tachyon dark energy with variable $G$ and $\Lambda$
• Noether's stars in $f(\mathcal{R})$ gravity
• Stability of black holes in f(R) gravity

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• Does Dynamical Wormhole Evolve From Emergent Scenario?
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