TY - JOUR
T1 - Hiding and confining charges via "tube-like" wormholes
AU - Guendelman, Eduardo
AU - Kaganovich, Alexander
AU - Nissimov, Emil
AU - Pacheva, Svetlana
N1 - Funding Information:
E. Nissimov and S. Pacheva are supported by Bulgarian NSF grant DO 02-257. Also, all of us acknowledge support of our collaboration through the exchange agreement between the Ben-Gurion University and the Bulgarian Academy of Sciences. We are grateful to Stoycho Yazadjiev for constructive discussions and Doug Singleton for correspondence. Thanks are also due the referee for useful remarks.
PY - 2011/12/20
Y1 - 2011/12/20
N2 - We describe two interesting effects in wormhole physics. First, we find that a genuinely charged matter source of gravity and electromagnetism may appear electrically neutral to an external observer - a phenomenon opposite to the famous Misner-Wheeler "charge without charge" effect. We show that this phenomenon takes place when coupling a bulk gravity/nonlinear-gauge-field system self-consistently to a codimension-one charged lightlike brane as a matter source. The "charge-hiding" effect occurs in a self-consistent wormhole solution of the above coupled gravity/nonlinear-gauge-field/lightlike- brane system which connects a noncompact "universe," comprising the exterior region of Schwarzschild-(anti-)de Sitter (or purely Schwarzschild) black hole beyond the internal (Schwarzschild) horizon, to a Levi-Civita-Bertotti-Robinson-type ("tube-like") "universe" with two compactified dimensions via a wormhole "throat" occupied by the charged lightlike brane. In this solution the whole electric flux produced by the charged lightlike brane is expelled into the compactified Levi-CivitaBertottiRobinson-type "universe" and, consequently, the brane is detected as neutral by an observer in the Schwarzschild-(anti-)de Sitter "universe." Next, the above "charge-hiding" solution can be further generalized to a truly charge-confining wormhole solution when we couple the bulk gravity/nonlinear-gauge-field system self-consistently to two separate codimension-one charged lightlike branes with equal in magnitude but opposite charges. The latter system possesses a "two-throat" wormhole solution, where the "left-most" and the "right-most" "universes" are two identical copies of the exterior region of the neutral Schwarzschildde Sitter black hole beyond the Schwarzschild horizon, whereas the "middle" "universe" is of generalized Levi-CivitaBertottiRobinson "tube-like" form with geometry dS 2 ×S2 (dS2 being the two-dimensional de Sitter space). It comprises the finite-extent intermediate region of dS 2 between its two horizons. Both "throats" are occupied by the two oppositely charged lightlike branes and the whole electric flux produced by the latter is confined entirely within the middle finite-extent "tube-like" "universe." A crucial ingredient is the special form of the nonlinear gauge field action, which contains both the standard Maxwell term as well as a square root of the latter. This theory was previously shown to produce a QCD-like confining dynamics in flat spacetime.
AB - We describe two interesting effects in wormhole physics. First, we find that a genuinely charged matter source of gravity and electromagnetism may appear electrically neutral to an external observer - a phenomenon opposite to the famous Misner-Wheeler "charge without charge" effect. We show that this phenomenon takes place when coupling a bulk gravity/nonlinear-gauge-field system self-consistently to a codimension-one charged lightlike brane as a matter source. The "charge-hiding" effect occurs in a self-consistent wormhole solution of the above coupled gravity/nonlinear-gauge-field/lightlike- brane system which connects a noncompact "universe," comprising the exterior region of Schwarzschild-(anti-)de Sitter (or purely Schwarzschild) black hole beyond the internal (Schwarzschild) horizon, to a Levi-Civita-Bertotti-Robinson-type ("tube-like") "universe" with two compactified dimensions via a wormhole "throat" occupied by the charged lightlike brane. In this solution the whole electric flux produced by the charged lightlike brane is expelled into the compactified Levi-CivitaBertottiRobinson-type "universe" and, consequently, the brane is detected as neutral by an observer in the Schwarzschild-(anti-)de Sitter "universe." Next, the above "charge-hiding" solution can be further generalized to a truly charge-confining wormhole solution when we couple the bulk gravity/nonlinear-gauge-field system self-consistently to two separate codimension-one charged lightlike branes with equal in magnitude but opposite charges. The latter system possesses a "two-throat" wormhole solution, where the "left-most" and the "right-most" "universes" are two identical copies of the exterior region of the neutral Schwarzschildde Sitter black hole beyond the Schwarzschild horizon, whereas the "middle" "universe" is of generalized Levi-CivitaBertottiRobinson "tube-like" form with geometry dS 2 ×S2 (dS2 being the two-dimensional de Sitter space). It comprises the finite-extent intermediate region of dS 2 between its two horizons. Both "throats" are occupied by the two oppositely charged lightlike branes and the whole electric flux produced by the latter is confined entirely within the middle finite-extent "tube-like" "universe." A crucial ingredient is the special form of the nonlinear gauge field action, which contains both the standard Maxwell term as well as a square root of the latter. This theory was previously shown to produce a QCD-like confining dynamics in flat spacetime.
KW - Generalized Levi-CivitaBertottiRobinson spaces
KW - QCD-like charge confinement
KW - dynamically generated cosmological constant
KW - wormholes connecting noncompact with compactified "universes"
KW - wormholes via lightlike branes
UR - http://www.scopus.com/inward/record.url?scp=83755174143&partnerID=8YFLogxK
U2 - 10.1142/S0217751X11054851
DO - 10.1142/S0217751X11054851
M3 - Article
AN - SCOPUS:83755174143
SN - 0217-751X
VL - 26
SP - 5211
EP - 5239
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
IS - 30-31
ER -