What should the shape function of the wormhole be like? Is it necessary for the shape function b(r) to be monotonically increasing at all times? It has been noticed in various papers that some authors have chosen a monotonic decreasing shape function. Please discuss this.
Before considering the analysis of wormholes, we should establish whether they exist at all. The question of wormholes is related to an understanding of black holes and there is serious doubt regarding the existence of a singularity at the centre of a black hole. Instead it is proposed that all black holes contain a neutron star of the corresponding mass. This being the case, wormholes do not exist.
Data Black Holes
Richard
Wormholes are logically distinct from blackholes. For examples of wormhole solutions, this paper: Preprint Wormhole solutions in $f(R)$ Gravity
might be useful.
Richard Lewis ,Sir indeed you are right that we have not discovered any wormhole but there is a possibility in fact as much as I have understood the concept of wormhole aka(EPR bridge) started with the idea of quantum entanglement and complexity where 2 regions of space are quantum mechanically entangled one can take an easy analogy from say condesed matter physics here also distance between 2 points A and B and the distant between A and B increases with time increasing the complexity entropy and entanglement as number of states between A and B increase so it might not have been discovered yet but is still worth while to use GR and quantum mechanics to explore it for other current purposes
For simple idea of geometry think of stretched string or QCD interactions of 2 quarks if length increases then bredth of string decreases.(Just for simple idea,not a complete model)
And for geometrf wormhole there are different kinds of but b...
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