Phantom Wormhole Solutions in a Generic Cosmological Constant Background

Abstract

There are a number of reasons to study wormholes with generic cosmological constant $\Lambda$. Recent observations indicate that present accelerating expansion of the universe demands $\Lambda >0$. On the other hand, some extended theories of gravitation such as supergravity and superstring theories posses vacuum states with $\Lambda <0$. Even within the framework of general relativity, a negative cosmological constant permits black holes with horizons topologically different from the usual spherical ones. These solutions are convertible to wormhole solutions by adding some exotic matter. In this paper, the asymptotically flat wormhole solutions in a generic cosmological constant background are studied. By constructing a specific class of shape functions, mass function, energy density and pressure profiles which support such a geometry are obtained. It is shown that for having such a geometry, the wormhole throat $r_0$, the cosmological constant $\Lambda$ and the equation of state parameter $\omega$ should satisfy two specific conditions. The possibility of setting different values for the parameters of the model helps us to find exact solutions for the metric functions, mass functions and energy-momentum profiles. At last, the volume integral quantifier, which provides useful information about the total amount of energy condition violating matter is discussed briefly.

13 pages, 1 figure in Canadian Journal of Physics

References in corpus (15)

• Traversable wormholes: Some simple examples
• Wormhole geometries in f(R) modified theories of gravity
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Plane symmetric thin-shell wormholes: solutions and stability
• A general class of braneworld wormholes
• General class of wormhole geometries in conformal Weyl gravity
• New asymptotically flat phantom wormhole solutions
• Astrophysics of Wormholes
• Self sustained phantom wormholes in semi-classical gravity
• Self-sustained traversable wormholes in noncommutative geometry
• N-dimensional static and evolving Lorentzian wormholes with cosmological constant
• Wormhole with varying cosmological constant
• Horizon closeness bounds for static black hole mimickers

Cited by in corpus (20)

• Traversable asymptotically flat wormholes in Rastall gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Validation of Energy Conditions in Wormhole Geometry within Viable $f(R)$ Gravity
• Wormhole in $f(Q)$ gravity
• Wormhole Modeling Supported by Non-Exotic Matter
• Traversable wormholes in $f(R)$ gravity with constant and variable redshift functions
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity
• Charged Wormhole Solutions in Einstein-Cartan gravity
• Wormhole solutions with a polynomial equation-of-state and minimal violation of the null energy condition
• Charged traversable wormholes supported by Casimir energy with and without GUP corrections
• Static phantom wormholes of finite size
• Asymptotically flat wormhole solutions with variable equation-of-state parameter
• Evolving wormhole in the brane-world scenario
• Static traversable wormholes in Lyra manifold
• Phantom energy supported wormhole model in $f(R,T)$ gravity assuming conformal motion
• Wormhole modeling in $R^2$ gravity with linear trace term
• Scalar-tensor black holes in an expanding universe
• Wormhole solutions in generalized Rastall gravity
• Casimir Wormholes in Brans-Dicke Theory