Search for Heavy Pointlike Dirac Monopoles

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doi:10.1103/physrevlett.81.524

Cited by 46 publications

(62 citation statements)

References 22 publications

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“…One can also verify that the axion-like piece of the constitutive tensor drops out from V, so it depends only on (1) χ and (2) χ. This property agrees with the result that, for a general constitutive tensor, different polarization states will propagate in different directions.…”

Section: Light Raysmentioning

confidence: 92%

“…Denote the contribution of each piece of the constitutive tensor to the excitation as (1) H, (2) Denote the contribution of each piece of the constitutive tensor to the excitation as (1) H, (2) …”

Section: Linear Constitutive Relationsmentioning

confidence: 99%

“…The identity (193) shows that the symmetric piece (1) χ is indispensable for obtaining well-behaved wave properties: If (1) χ = 0, the Fresnel equation is trivially satisfied and thus no light cone structure could be induced. Notice that this identity is not trivial since G depends cubicly on the constitutive tensor χ.…”

Section: Properties Of the Fresnel Tensor Densitymentioning

confidence: 99%

“…This equation summarizes how the skewon piece 'perturbates' the Fresnel equation that one would obtain only from the principal piece (1) χ. This equation summarizes how the skewon piece 'perturbates' the Fresnel equation that one would obtain only from the principal piece (1) χ.…”

Section: Properties Of the Fresnel Tensor Densitymentioning

confidence: 99%

“…Note that b ab contributes only to (1) χ and n c only to (2) χ. In this case, by substituting (331) into (182), we obtain:…”

Section: Relaxing the Symmetry Conditionmentioning

confidence: 99%

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Linear pre-metric electrodynamics and deduction of the light cone

Rubilar

2002

Ann. Phys.

106

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We formulate a general framework for describing the electromagnetic properties of spacetime. These properties are encoded in the 'constitutive tensor of the vacuum', a quantity analogous to that used in the description of material media. We give a generally covariant derivation of the Fresnel equation describing the local properties of the propagation of electromagnetic waves for the case of the most general possible linear constitutive tensor. We also study the particular case in which a light cone structure is induced and the circumstances under which such a structure emerges. In particular, we will study the relationship between the dual operators defined by the constitutive tensor under certain conditions and the existence of a conformal metric. Closure and symmetry of the constitutive tensor will be found as conditions which ensure the existence of a conformal metric. We will also see how the metric components can be explicitly deduced from the constitutive tensor if these two conditions are met. Finally, we will apply the same method to explore the consequences of relaxing the condition of symmetry and how this affects the emergence of the light cone. * Email: grubilar at udec dot cl.

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Section: Light Raysmentioning

confidence: 92%

Section: Linear Constitutive Relationsmentioning

confidence: 99%

Section: Properties Of the Fresnel Tensor Densitymentioning

confidence: 99%

Section: Properties Of the Fresnel Tensor Densitymentioning

confidence: 99%

“…Note that b ab contributes only to (1) χ and n c only to (2) χ. In this case, by substituting (331) into (182), we obtain:…”

Section: Relaxing the Symmetry Conditionmentioning

confidence: 99%

See 3 more Smart Citations

Linear pre-metric electrodynamics and deduction of the light cone

Rubilar

2002

Ann. Phys.

106

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Linear pre‐metric electrodynamics and deduction of the light cone

Rubilar

2002

Annalen der Physik

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We formulate a general framework for describing the electromagnetic properties of spacetime. These properties are encoded in the ‘constitutive tensor of the vacuum’, a quantity analogous to that used in the description of material media. We give a generally covariant derivation of the Fresnel equation describing the local properties of the propagation of electromagnetic waves for the case of the most general possible linear constitutive tensor. We also study the particular case in which a light cone structure is induced and the circumstances under which such a structure emerges. In particular, we will study the relationship between the dual operators defined by the constitutive tensor under certain conditions and the existence of a conformal metric. Closure and symmetry of the constitutive tensor will be found as conditions which ensure the existence of a conformal metric. We will also see how the metric components can be explicitly deduced from the constitutive tensor if these two conditions are met. Finally, we will apply the same method to explore the consequences of relaxing the condition of symmetry and how this affects the emergence of the light cone.

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How Does the Electromagnetic Field Couple to Gravity, in Particular to Metric, Nonmetricity, Torsion, and Curvature?

Hehl

Obukhov

Lecture Notes in Physics

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The coupling of the electromagnetic field to gravity is an age-old problem. Presently, there is a resurgence of interest in it, mainly for two reasons: (i) Experimental investigations are under way with ever increasing precision, be it in the laboratory or by observing outer space. (ii) One desires to test out alternatives to Einstein's gravitational theory, in particular those of a gauge-theoretical nature, like Einstein-Cartan theory or metric-affine gravity.-A clean discussion requires a reflection on the foundations of electrodynamics. If one bases electrodynamics on the conservation laws of electric charge and magnetic flux, one finds Maxwell's equations expressed in terms of the excitation H = (D, H) and the field strength F = (E, B) without any intervention of the metric or the linear connection of spacetime. In other words, there is still no coupling to gravity. Only the constitutive law H = functional(F ) mediates such a coupling. We discuss the different ways of how metric, nonmetricity, torsion, and curvature can come into play here. Along the way, we touch on non-local laws (Mashhoon), non-linear ones (Born-Infeld, Heisenberg-Euler, Plebański), linear ones, including the Abelian axion (Ni), and find a method for deriving the metric from linear electrodynamics (Toupin, Schönberg). Finally, we discuss possible non-minimal coupling schemes.1 Of course, we could have non-minimal coupling as, e.g., in F +γ eα⌋e β ⌋R αβ ∧F = 1 ε 0 c d ⋆ J , see Sec.7.

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Search for Heavy Pointlike Dirac Monopoles

Cited by 46 publications

References 22 publications

Linear pre-metric electrodynamics and deduction of the light cone

Linear pre-metric electrodynamics and deduction of the light cone

Linear pre‐metric electrodynamics and deduction of the light cone

How Does the Electromagnetic Field Couple to Gravity, in Particular to Metric, Nonmetricity, Torsion, and Curvature?

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