Energy conditions for electromagnetic field in presence of cosmological constant

Abstract

The Einstein's equations can be solved in order to find which energy-momentum tensor corresponds to a given geometry of space-time. However, these solutions sometimes have not any physical meaning. To choose which solutions have physical meaning, we use the energy conditions. This work presents the explicit expressions of the energy conditions for the electromagnetic field in the vacuum and in the presence of the cosmological constant. The Analysis of these two cases produces some bounds for the value of cosmological constant, showing a relation between it and the electromagnetic field present in the space-time. In particular, it is shown that the cosmological constant need to have a value bigger than that one considered in cosmological models in order to characterize a dark energy fluid in the presence of electromagnetic fields.

Quasi-topological electromagnetism: Dark energy, dyonic black holes, stable photon spheres and hidden electromagnetic duality

“…Since the Maxwell field with the standard kinetic term satisfies all the energy conditions [8], it follows that for α 1,2 > 0, the system satisfies the dominant energy condition, but not necessary the strong energy condition. Explicit examples will be given presently.…”

“…However, in the standard formulation the symmetry breaks down in the on-shell action owing to the fact F 2 = −( * F ) 2 . (See [8,[22][23][24][25] for alternative formulations.) The issue becomes recently urgent owing to the conjecture that the complexity of a quantum system is equal to the on-shell action of some AdS black hole in the Wheeler-DeWitt (WDW) patch [27,28].…”

Energy Conditions in a Generalized Second-Order Scalar-Tensor Gravity

“…However, quintom models can also satisfy NEC as they yield the phantom era for a very short period of time [28]. Usually, the discussions on energy conditions for cosmological constant are available in literature by introducing it in some other type of matter like electromagnetic field [29]. The cosmological constant will trivially satisfy all these energy conditions except SEC.…”