Selected Journal Publications  |  Journal Publication List  |  NASA Mission Papers

SELECTED JOURNAL PUBLICATIONS

Classical and Quantum Gravity

Spontaneous breaking of conformal invariance in theories of conformally coupled matter and Weyl gravity

A. Edery , L. Fabbri and M.B. Paranjape
Class.Quant.Grav.23:6409-6423,2006.

In this work we consider a system which consists of a triplet of scalar fields, SO(3) non-Abelian gauge fields and gravitation. This is a Georgi-Glashow model coupled to gravity. One can couple the matter fields to gravitation such that the action is conformally invariant, a symmetry which does not exist in the usual Georgi-Glashow model because of the presence of a mass term (negative mass squared). With the mass term forbidden by conformal symmetry, this role is now played by the conformal coupling of the scalar fields to the Ricci scalar. Spontaneous symmetry breaking therefore occurs via gravitation itself. The spherically symmetric solutions correspond to magnetic monopole sources embedded in an anti-de-Sitter (AdS) background. The metric is found to be Schwarzschild-AdS outside the core of the monopole. The Einstein-Hilbert action with cosmological constant emerges in the effective action after spontaneous symmetry breaking and dominates the low-energy/long-distance regime outside the core of the monopole.

These results were presented in Feb. 2007 as part of the Gravity Theory Seminars at the University of Maryland and at the Tenth Eastern Gravity Meeting held at Cornell University in June 2007. A review of this article with updated information describing explicitly how General Relativity with cosmological constant is induced in the theory was presented as part of an invited talk at the Theory Canada 4 conference in Montreal in June, 2008 and published in the proceedings under the title “Gravitationally coupled magnetic monopole and conformal symmetry breaking”.

Physical Revie D

Casimir piston for massless scalar fields in three dimensions

Ariel Edery, Phys. Rev. D 75, 105012 (2007)

In 2004 the Casimir piston geometry was introduced and solved for a scalar field in two spatial dimensions. The next step was to solve the realistic and more complicated case of three spatial dimensions (3D). In 2005, a group at MIT obtained approximate 3D results for a scalar field. In 2006, I developed a novel multidimensional cut-off technique for Dirichlet and Neumann boundary conditions which gave me the necessary nonperturbative tools to solve this problem. I solved exactly the 3D Dirichlet Casimir piston and obtained Casimir force formulae valid for any plate separation. This was a significant contribution to the field.

Physical Revie D

Compact dimensions and the Casimir effect: the Proca connection

A. Edery and V. N. Marachevsky, JHEP 12 (2008) 035

In this paper, we calculate the Casimir force between two perfectly conducting parallel plates in the presence of an extra dimension compactified on a circle of radius R (M4 x S1 spacetime). We obtain the novel result that perfect conductors become partially transparent due to the compact dimension. In the presence of the conducting plates, the three degrees of freedom for the photon do not yield three discrete (non-penetrating) modes but two discrete modes and one continuum (penetrating) mode. We calculate the effect of these penetrating modes within the framework of Lifshitz theory for plane parallel dielectrics. The discrete modes are calculated via novel 5D formulas that we derive. An interesting physical manifestation of the extra compact dimension is that the Casimir force now depends on the thickness of the conducting slabs.

I presented these results in August, 2008 at the Kavli Institute for Theoretical Physics (KITP) in Santa Barbara, CA and in fall, 2008 at Middlebury College, Middlebury, VT.

 

JOURNAL PUBLICATION LIST

An updated list of publications can be found on INSPIRE.

 

NASA MISSION PAPERS

NASA & a.i. Solutions
  1. A. Edery and J. Guzman, “Mission Design for the MMS Tetrahedron Formation”, IEEEAC paper #1424, presented at the 2004 IEEE Aerospace conference in Big Sky, Montana in March.
  2. A. Edery, “Designing Phase 2 for the Double Lunar Swingby of the Magnetospheric Multiscale mission”, paper AAS 03-245. Presented at the 13th AAS/AIAA Space Flight Mechanics Meeting, Feb 9-13, 2003, Ponce, Puerto Rico. Conference, NASA Technical Reports Server
  3. A. Edery and J. Guzman, “Flying a Four Spacecraft Formation by the Moon…Twice”, paper AAS 03-132. Presented at the 13th AAS/AIAA Space Flight Mechanics Meeting, Feb 9-13, 2003, Ponce, Puerto Rico. Conference,  NASA Technical Reports Server
  4. A. Edery, “Earth Shadows and the SEV angle of MAP’s Lissajous Orbit at L2”, paper AIAA 2002-442. Presented at the AIAA/AAS Astrodynamics Specialist Conference, Aug 2002, Monterey, CA. Conference, NASA Technical Reports Server
  5. A. Edery and C. Schiff, “The Double Lunar Swingby of the MMS Mission”, JPL International Space Flight Dynamics Conference, Dec 2001, Pasadena.
  6. A. Edery, “Analytical Expressions for the Semimajor Axis and Eccentricity after a Lunar Gravity Assist and Tisserand’s Criterion”, ai-solutions, Inc. 2002.

    In this paper I derived an important analytical formula for gravity assists that I used as a guide in my design of the double lunar swingby for the Magnetospheric Multiscale mission. The results are quoted in paper [5] (presented at the ISSFD conference in Pasadena in 2001).  Many mission analysts have used this formula for making predictions before performing a full numerical simulation.