Rotating vacuum wormhole

Abstract

We investigate whether self-maintained vacuum traversible wormhole can exist described by stationary but nonstatic metric. We consider metric being the sum of static spherically symmetric one and a small nondiagonal component which describes rotation sufficiently slow to be taken into account in the linear approximation. We study semiclassical Einstein equations for this metric with vacuum expectation value of stress-energy of physical fields as the source. In suggestion that the static traversible wormhole solution exists we reveal possible azimuthal angle dependence of angular velocity of the rotation (angular velocity of the local inertial frame) that solves semiclassical Einstein equations. We find that in the macroscopic (in the Plank scale) wormhole case a rotational solution exists but only such that, first, angular velocity depends on radial coordinate only and, second, the wormhole connects the two asymptotically flat spacetimes rotating with angular velocities different in asymptotic regions.

Rotating traversable wormholes

“…The possibility of generalizing this to wormholes with (slow) rotation has recently been discussed in Ref. [34].…”

Cosmological lorentzian wormholes via noether symmetry approach

“…Let us make things clear yet again, for a consistency check. To get a picture of evolution of the early universe in view of the action (2), we need to solve the set of Einstein's field equations (13), (14) and (15) exactly. Out of which only two are independent and they involve 5 unknowns (a(t), φ(t), f (φ), ω(φ), V (φ)) altogether.…”

From static to rotating to conformal static solutions: rotating imperfect fluid wormholes with(out) electric or magnetic field

“…Moreover, it is also possible to show that (19) is the unique power-law solution of the form [l(r ) + a 2 y 2 k(r )] m . Hence, the hope to find a simple solution obeying (4), that is, where l(r ) = H (r ), vanishes. Other solutions than s that may obey (4) have thus more complicated structures which we write as…”

“…Many of the solutions derived in this context are linear approximations with respect to the rotating parameter a or angular momentum J [1][2][3][4][5][6]. When the linear approximation is no longer valid, as is the case with fast rotating objects in the cosmos, only the well-known set of exact solutions (see [7][8][9][10][11][12] and references therein) have been or may be used for matching exterior vaca e-mail: azreg@baskent.edu.tr uum configurations to interior fluid cores (see [13][14][15][16][17] and references therein).…”

“…Generating rotating solutions by linearization does not generally demand a special approach but appeals to symmetry properties [1][2][3][4][5][6]. In contrast, most of the approaches used to derive exact rotating solutions, besides relying on symmetry properties, were methodic [7][8][9][10][11][12][18][19][20][21][22][23][24][25] or partly methodic relying on some ad hoc hypotheses [26][27][28][29][30][31][32].…”