2018
DOI: 10.1103/physrevd.98.044040
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No stable wormholes in Einstein-dilaton-Gauss-Bonnet theory

Abstract: In [1] it was shown that the four-dimensional Einstein-dilaton-Gauss-Bonnet theory allows for wormholes without introducing any exotic matter. The numerical solution for the wormhole was obtained there and it was claimed that this solution is gravitationally stable against radial perturbations, what, by now, would mean the only known theoretical possibility for existence of an apparently stable, four-dimensional and asymptotically flat wormhole without exotic matter. Here, more detailed analysis of perturbatio… Show more

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Cited by 52 publications
(45 citation statements)
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References 87 publications
(124 reference statements)
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“…Quasinormal modes of wormholes have been recently studied in a number of papers in the context of possi- ble astrophysical observations, testing wormhole geometry and stability [38][39][40][41][42][43][44][45][46][47]. Here we were interested in the question whether the arbitrarily long-lived quasinormal modes, which exist in the spectra of massive fields in some black-hole backgrounds, are also present in the spectra of wormholes?…”
Section: Discussionmentioning
confidence: 99%
“…Quasinormal modes of wormholes have been recently studied in a number of papers in the context of possi- ble astrophysical observations, testing wormhole geometry and stability [38][39][40][41][42][43][44][45][46][47]. Here we were interested in the question whether the arbitrarily long-lived quasinormal modes, which exist in the spectra of massive fields in some black-hole backgrounds, are also present in the spectra of wormholes?…”
Section: Discussionmentioning
confidence: 99%
“…BHs under specific boundary conditions, corresponding to purely outgoing waves at infinity and purely incoming waves at the event horizon (minus infinity in terms of the tortoise coordinate). The boundary conditions for a traversable wormhole which connects two infinities are the same in terms of the tortoise coordinate [45], so that many of the tools used for finding BH quasinormal modescan, with small modifications, be used for wormholes as well [37,46,47,59,60,62,63]. In particular, to finding the frequencies of quasinormal modes, we will use the WKB method when the effective potential has a single maximum and time domain integration for all types of the effective potentials.…”
Section: Quasinormal Modes Of Bhs Are Proper Oscillations Ofmentioning
confidence: 99%
“…Quasinormal modes of the wormholes, connecting two infinities, obey the same boundary conditions in terms of the tortoise coordinate as those for black holes and they were studied in various contexts in [15][16][17][18][19][20][21][22][23][24][25][26][27] An interesting model interpolating between the traversable wormhole and regular black hole was suggested in [1] and extended to the time-dependent case in [2]. Here we would like to see how the transition between the regular black hole and a wormhole via black bounce can look like from the point of view of quasinormal ringing.…”
Section: Introductionmentioning
confidence: 99%