K-essence Emergent Spacetime as Generalized Vaidya Geometry

Abstract

We establish a formal connection between the {\bf K}-essence emergent gravity scenario and generalizations of Vaidya spacetime. Choosing the {\bf K}-essence action to be of the Dirac-Born-Infeld variety, the physical spacetime to be a general static spherically symmetric black hole and restricting the {\bf K}-essence scalar field to be a function solely of the advanced or the retarded time, we show that the emergent gravity metric resembles closely the generalized Vaidya metrics for null fluid collapse proposed by Husain. Imposing null energy conditions on the emergent energy-momentum tensor derived from the emergent Einstein equation, restrictions are obtained on the functions characterizing the emergent metric for consistent identification with generalized Vaidya spacetimes. We discuss the possibility of dynamical horizons in the {\bf K-}essence emergent Vaidya spacetime. Admissible explicit black hole background metrics are discussed as examples.

arXiv comment8 pages, 6 figures, Accepted from Physical Review D

References in corpus (20)

• Isolated and dynamical horizons and their applications
• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• General Laws of Black-Hole Dynamics
• Purely kinetic k-essence as unified dark matter
• k-Essence, superluminal propagation, causality and emergent geometry
• Dynamical Horizons and their Properties
• Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
• Extended tachyon field, Chaplygin gas and solvable k-essence cosmologies
• Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
• Generalized Vaidya Solutions
• Marginal evidence for cosmic acceleration from Type Ia supernovae
• `Superresonance' from a rotating acoustic black hole
• Exact solutions for null fluid collapse
• Escaping from the black hole?
• Detecting Rotational Superradiance in Fluid Laboratories
• The Hawking temperature in the context of dark energy
• The Hawking Temperature in the context of Dark Energy for Reissner-Nordstrom and Kerr background
• Looking beyond the horizon
• Thermodynamics for the k-essence Emergent Reissner-Nordstrom-de Sitter Spacetime
• Intertial Frame Dragging in an Acoustic Analogue spacetime

Cited by in corpus (16)

• Gravitational Collapse for the K-essence Emergent Vaidya Spacetime
• Dynamical Photon Spheres in Charged Black Holes and Naked Singularities
• Raychaudhuri equation in $k$-essence geometry: conditional singular and non-singular cosmological models
• Evaporation of dynamical horizon with the Hawking temparature in the {\bf K-}essence emergent Vaidya spacetime
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• Formation of regular black hole from baryonic matter
• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Form Invariance of Raychaudhuri equation in the presence of Inflaton-type fields
• Null geodesic structure for the Barriola-Vilenkin spacetime via $k$-essence
• NEC violation in $f(\bar{R},\bar{T})$ gravity in the context of a non-canonical theory via modified Raychaudhuri equation
• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity
• Non-Affine Extensions of the Raychaudhuri Equation in the K-essence Framework
• K-essence sources of Kerr-Schild spacetimes
• Particle production rate for a dynamical system using the path integral approach