Membrane interactions and total mean curvature

The motion of membranes interacting with external fields in space-times with curvature and torsion is considered. The intrinsic and extrinsic properties of the immersion are fused together to form a stress tensor for the corresponding material hypersurface. This geometro-elastic stress tensor is part of the total stress tensor by which it looses the symmetry and divergenceless properties because of the existence of torsion. The equation of motion of the membrane is given by equating the total stress tensor to a non-zero value determined by the curvature and torsion of the ambient space-time. Dirac andÖnder-Tucker bubbles are considered as special cases. An example of the membrane motion on a manifold admitting a generalized Killing spinor is given.

show abstract

“…This equation is the generalization of the equation of motion found byÖnder and Tucker [4] for the presence of torsion.…”

Section: Bönder-tucker Bubblementioning

confidence: 74%

Motion of membranes in space-times with torsion

Açık¹,

Çatalkaya²,

Ertem³

et al. 2019

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…and these contain more physical intuition. Our scenario could also be thought as equivalent to Dirac's [31] where he models the electron as an extended elementary particle and the muon corresponds to the first excited state of the electron; a similar and more accurate construction may be found in [32]. From this point of view, our model may be seen as a gas of one level (p -2)-branes (i.e.…”

Section: Physical Interpretation and The Main Questionmentioning

confidence: 75%

On a Relation Between Twistors and Killing Spinors

Açık

2018

Cumhuriyet Science Journal

View full text Add to dashboard Cite

Inspiring from the consequence of constructing conformal Killing-Yano forms out of Killing-Yano forms and closed conformal Killing-Yano forms, this work includes a method for building up twistors from Killing spinors which can be analogously interpreted as the quantum electrodynamical pair annihilation process in background gravitational fields. The former consequence is easily verified if one introduces a new defining differential equation for (possibly inhomogeneous) Killing-Yano forms which is free from auxiliary vector fields, as is done in this text. From this point of view a neat relation between the symmetry operators of massive and massless Dirac equation is also introduced. Some other physical interpretations are also included.

show abstract

“…This will be proved shortly. In passing we remark that, due to the fact that the worldvolume is an oriented timelike manifold embedded in M, the odd Lovelock type brane invariants, unlike what happens with the common counter-terms in the pure Lovelock gravity, they have the presence of time derivatives, which indicates that we have dynamical content on this type of hypersurfaces [28,29,30,31,32,33,34]. It should also be noted that there are formal descriptions in which some hypersurfaces are considered to play the role of boundaries for gravitational spaces, and which are described by actions that represent counter-terms of the original action.…”

Section: Lovelock Type Brane Theorymentioning

confidence: 98%

Holographic relationships in Lovelock type brane gravity

Rojas

2019

Class. Quantum Grav.

View full text Add to dashboard Cite

We show that the Lovelock type brane gravity is naturally holographic by providing a correspondence between bulk and surface terms that appear in the Lovelock-type brane gravity action functional. We prove the existence of relationships between the L bulk and L surf allowing L surf to be determined completely by L bulk . In the same spirit, we provide relationships among the various conserved tensors that this theory possesses. We further comment briefly on the correspondence between geometric degrees of freedom in both bulk and surface space.

show abstract

Membrane interactions and total mean curvature

Cited by 25 publications

References 3 publications

Motion of membranes in space-times with torsion

Motion of membranes in space-times with torsion

On a Relation Between Twistors and Killing Spinors

Holographic relationships in Lovelock type brane gravity

Contact Info

Product

Resources

About