arXiv subjects

Eduardo Guendelman

Publications and source records attributed to Eduardo Guendelman.

At least 91 records · Page 5Linked to original sources

arXiv2009

Einstein-Rosen "Bridge" Needs Lightlike Brane Source

The Einstein-Rosen "bridge" wormhole solution proposed in the classic paper [1] does not satisfy the vacuum Einstein equations at the wormhole throat. We show that the fully consistent formulation of the original Einstein-Rosen "bridge" requires solving Einstein equations of bulk D=4 gravity coupled to a lightlike brane with a well-defined world-volume action. The non-vanishing contribution of Einstein-Rosen "bridge" solution to the right hand side of Einstein equations at the throat matches precisely the surface stress-energy tensor of the lightlike brane which automatically occupies the throat ("horizon straddling") - a feature triggered by the world-volume lightlike brane dynamics.

hep-th↗

arXiv2009

Non-singular black holes from gravity-matter-brane lagrangians

We consider self-consistent coupling of bulk Einstein-Maxwell-Kalb-Ramond system to codimension-one charged lightlike p-brane with dynamical (variable) tension (LL-brane). The latter is described by a manifestly reparametrization-invariant world-volume action significantly different from the ordinary Nambu-Goto one. We show that the LL-brane is the appropriate gravitational and charge source in the Einstein-Maxwell-Kalb-Ramond equations of motion needed to generate a self-consistent solution describing non-singular black hole. The latter consists of de Sitter interior region and exterior Reissner-Nordstroem region glued together along their common horizon (it is the inner horizon from the Reissner-Nordstroem side). The matching horizon is automatically occupied by the LL-brane as a result of its world-volume lagrangian dynamics, which dynamically generates the cosmological constant in the interior region and uniquely determines the mass and charge parameters of the exterior region. Using similar techniques we construct a self-consistent wormhole solution of Einstein-Maxwell system coupled to electrically neutral LL-brane, which describes two identical copies of a non-singular black hole region being the exterior Reissner-Nordstroem region above the inner horizon, glued together along their common horizon (the inner Reissner-Nordstroem one) occupied by the LL-brane. The corresponding mass and charge parameters of the two black hole "universes" are explicitly determined by the dynamical LL-brane tension. This also provides an explicit example of Misner-Wheeler "charge without charge" phenomenon. Finally, this wormhole solution connecting two non-singular black holes can be transformed into a special case of Kantowski-Sachs bouncing cosmology solution.

hep-th↗

arXiv2009

Spherically Symmetric and Rotating Wormholes Produced by Lightlike Branes

Lightlike p-branes (LL-branes) with dynamical (variable) tension allow simple and elegant Polyakov-type and dual to it Nambu-Goto-like world-volume action formulations. Here we first briefly describe the dynamics of LL-branes as test objects in various physically interesting gravitational backgrounds of black hole type, including rotating ones. Next we show that LL-branes are the appropriate gravitational sources that provide proper matter energy momentum tensors in the Einstein equations of motion needed to generate traversable wormhole solutions, in particular, self-consistent cylindrical rotating wormholes, with the LL-branes occupying their throats. Here a major role is being played by the dynamical LL-brane tension which turns out to be negative but may be of arbitrary small magnitude. As a particular solution we obtain traversable wormhole with Schwarzschild geometry generated by a LL-brane positioned at the wormhole throat, which represents the correct consistent realization of the original Einstein-Rosen "bridge" manifold.

hep-th↗

arXiv2009

"Mass Inflation" With Lightlike Branes

We discuss properties of a new class of p-brane models, describing intrinsically lightlike branes for any world-volume dimension, in various gravitational backgrounds of interest in the context of black hole physics. One of the characteristic features of these lightlike p-branes is that the brane tension appears as an additional nontrivial dynamical world-volume degree of freedom. Codimension one lightlike brane dynamics requires that bulk space with a bulk metric of spherically symmetric type must possess an event horizon which is automatically occupied by the lightlike brane while its tension evolves exponentially with time. The latter phenomenon is an analog of the well known "mass inflation" effect in black holes.

hep-th↗

arXiv2009

Lightlike Branes as Natural Candidates for Wormhole Throats

We first briefly present a consistent world-volume Lagrangian description of lightlike p-branes (LL-branes) in two equivalent forms - a Polyakov-type and a dual to it Nambu-Goto-type formulations. The most important characteristic features of LL-brane dynamics are: (i) the brane tension appears as a non-trivial additional dynamical degree of freedom; (ii) consistency of LL-brane dynamics in a spherically or axially symmetric gravitational background of codimension one requires the presence of an event horizon which is automatically occupied by the LL-brane ("horizon straddling"). Next we consider a bulk Einstein-Maxwell system interacting self-consistently with a codimension one LL-brane. We find spherically symmetric traversable wormhole solutions of Misner-Wheeler type produced by the LL-brane sitting at the wormhole throat with wormhole parameters being functions of the dynamical LL-brane tension.

hep-th↗

arXiv2009

Lightlike Brane as a Gravitational Source of Misner-Wheeler-Type Wormhole

Consistent Lagrangian description of lightlike p-branes (LL-branes) is presented in two equivalent forms - a Polyakov-type formulation and a dual to it Nambu-Goto-type formulation. An important characteristic feature of the LL-branes is that the brane tension appears as a non-trivial additional dynamical degree of freedom. Next, properties of p=2 LL-brane dynamics (as a test brane) in D=4 Kerr or Kerr-Newman gravitational backgrounds are discussed in some detail. It is shown that the LL-brane automatically positions itself on the horizon and rotates along with the same angular velocity. Finally, a Misner-Wheeler-type of Reissner-Nordstroem wormhole is constructed in a self-consistent electrically sourceless Einstein-Maxwell system in the D=4 bulk interacting with a LL-brane. The pertinent wormhole throat is located precisely at the LL-brane sitting on the outer Reissner-Nordstroem horizon with the Reissner-Nordstroem mass and charge being functions of the dynamical LL-brane tension.

hep-th↗

arXiv2008

Lightlike p-Branes: Mass "Inflation" and Lightlike Braneworlds

Lagrangian description of lightlike p-branes is presented in two equivalent forms - a Polyakov-type formulation and a dual to it Nambu-Goto-type formulation. Next, the properties of lightlike brane dynamics in generic gravitational backgrounds of spherically symmetric and axially symmetric type are discussed in some detail: "horizon straddling" and "mass inflation" effects for codimension-one lightlike branes and ground state behavior of codimension-two lightlike "braneworlds".

hep-th↗

arXiv2007

Lightlike Braneworlds

We propose a new class of p-brane models describing intrinsically lightlike branes in any world-volume dimensions. Properties of the dynamics of these lightlike p-branes in various gravitational backgrounds of interest in the context of braneworlds are briefly described. Codimenion two (and more) lightlike braneworlds perform in their ground states non-trivial motions in the extra dimensions in sharp contrast to standard (Nambu-Goto) braneworlds.

hep-th↗

arXiv2007

Gravitational Trapping Near Domain Walls and Stable Solitons

In this work, the behavior of test particles near a domain wall of a stable false vacuum bubble is studied. It is shown that matter is naturally trapped in the vicinity of a static domain wall, and also, that there is a discontinuity in the test particle's velocity when crossing the domain wall. The latter is unexpected as it stands in contrast to Newtonian theory, where infinite forces are not allowed. The weak field limit is defined in order to show that there is no conflict with the non-relativistic behavior of gravitational fields and particle motions under these conditions.

gr-qc↗

arXiv2007

Static potential from spontaneous breaking of scale symmetry

We determine the static potential for a heavy quark-antiquark pair from the spontaneous symmetry breaking of scale invariance in a non-Abelian gauge theory. Our calculation is done within the framework of the gauge-invariant, path-dependent, variables formalism. The result satisfies the 't Hooft basic criterion for achieving confinement.

hep-th↗

arXiv2006

Weyl-Invariant Lightlike Branes and Soldering of Black Hole Space-Times

We consider self-consistent coupling of the recently introduced new class of Weyl-conformally invariant lightlike branes (WILL-branes) to D=4 Einstein-Maxwell system plus a D=4 three-index antisymmetric tensor gauge field. We find static spherically-symmetric solutions where the space-time consists of two regions with different black-hole-type geometries and different values for a dynamically generated cosmological constant, separated by the WILL-brane which ``straddles'' their common event horizon. Furthermore, the WILL-brane produces a potential ``well'' around itself acting as a trap for test particles falling towards the horizon.

hep-th↗

arXiv2006

Self-Consistent Solutions for Bulk Gravity-Matter Systems Coupled to Lightlike Branes

We study self-consistent D=4 gravity-matter systems coupled to a new class of Weyl-conformally invariant lightlike branes (WILL}-branes). The latter serve as material and charged source for gravity and electromagnetism. Further, due to the natural coupling to a 3-index antisymmetric tensor gauge field, the WILL-brane dynamically produces a space-varying bulk cosmological constant. We find static spherically-symmetric solutions where the space-time consists of two regions with black-hole-type geometries separated by the WILL-brane which "straddles" their common event horizon and, therefore, provides an explicit dynamical realization of the "membrane paradigm" in black hole physics. Finally, by matching via WILL-brane of internal Schwarzschild-de-Sitter with external Reissner-Nordstrom-de-Sitter (or external Schwarzschild-de-Sitter)geometries we discover the emergence of a potential "well" for infalling test particles in the vicinity of the WILL-brane (the common horizon) with a minimum on the brane itself.

hep-th↗

arXiv2006

Confinement from constant field condensates

For a $(2+1)$-dimensional reformulated SU(2) Yang-Mills theory, we compute the interaction potential within the framework of the gauge-invariant but path-dependent variables formalism. This reformulation is due to the presence of a constant gauge field condensate. Our results show that the interaction energy contains a linear term leading to the confinement of static probe charges. This result is equivalent to that of the massive Schwinger model.

hep-th↗

arXiv2006

Confinement from spontaneous breaking of scale symmetry

We show that one can obtain naturally the confinement of static charges from the spontaneous symmetry breaking of scale invariance in a gauge theory. At the classical level a confining force is obtained and at the quantum level, using a gauge invariant but path-dependent variables formalism, the Cornell confining potential is explicitly obtained. Our procedure answers completely to the requirements by 't Hooft for ''perturbative confinement''.

hep-th↗

arXiv2005

Strings, p-Branes and Dp-Branes With Dynamical Tension

We discuss a new class of brane models (extending both p-brane and Dp-brane cases) where the brane tension appears as an additional dynamical degree of freedom instead of being put in by hand as an ad hoc dimensionfull scale. Consistency of dynamics naturally involves the appearence of additional higher-rank antisymmetric tensor gauge fields on the world-volume which can couple to charged lower-dimensional branes living on the original Dp-brane world-volume. The dynamical tension has the physical meaning of electric-type field strength of the additional higher-rank world-volume gauge fields. It obeys Maxwell (or Yang-Mills) equations of motion (in the string case p=1) or their higher-rank gauge theory analogues (in the Dp-brane case). This in particular triggers a simple classical mechanism of ("color") charge confinement.

hep-th↗

arXiv2005

Weyl-Invariant Light-Like Branes and Black Hole Physics

We propose a new class of p-brane theories which are Weyl-conformally invariant for any p. For any odd world-volume dimension the latter describe intrinsically light-like branes, hence the name WILL-branes (Weyl-Invariant Light-Like branes). Next we discuss the dynamics of WILL-membranes (i.e., for p=2) both as test branes in various external physically relevant D=4 gravitational backgrounds, as well as within the framework of a coupled D=4 Einstein-Maxwell-WILL-membrane system. In all cases we find that the WILL-membrane materializes the event horizon of the corresponding black hole solutions, thus providing an explicit dynamical realization of the membrane paradigm in black hole physics.

hep-th↗

arXiv2005

Novel Aspects in p-Brane Theories: Weyl-Invariant Light-Like Branes

We consider a novel class of Weyl-conformally invariant p-brane theories which describe intrinsically light-like branes for any odd world-volume dimension, hence the acronym WILL-branes (Weyl-Invariant Light-Like branes). We discuss in some detail the properties of WILL-brane dynamics which significantly differs from ordinary Nambu-Goto brane dynamics. We provide explicit solutions of WILL-membrane (i.e., p=2) equations of motion in arbitrary D=4 spherically symmetric static gravitational backgrounds, as well as in product spaces of interest in Kaluza-Klein context. In the first case we find that the WILL-membrane materializes the event horizon of the corresponding black hole solutions, thus providing an explicit dynamical realization of the membrane paradigm in black hole physics. In the second "Kaluza-Klein" context we find solutions describing WILL-branes wrapped around the internal (compact) dimensions and moving as a whole with the speed of light in the non-compact (space-time) dimensions.

hep-th↗

arXiv2005

Weyl-Conformally Invariant p-Brane Theories

We discuss in some detail the properties of a novel class of Weyl-conformally invariant p-brane theories which describe intrinsically light-like branes for any odd world-volume dimension and whose dynamics significantly differs from that of the ordinary (conformally non-invariant) Nambu-Goto p-branes. We present explicit solutions of the WILL-brane (Weyl-Invariant Light-Like brane) equations of motion in various gravitational backgrounds of physical relevance exhibiting the following new phenomena: (i) In spherically symmetric static backgrounds the WILL-brane automatically positions itself on (materializes) the event horizon of the corresponding black hole solutions, thus providing an explicit dynamical realization of the membrane paradigm in black hole physics; (ii) In product spaces (of interest in Kaluza-Klein context) the WILL-brane wrappes non-trivially around the compact (internal) dimensions and moves as a whole with the speed of light in the non-compact (space-time) dimensions.

hep-th↗