The lore paradigm for solving so-called horizon and flatness problems in cosmology is the primordial inflation. Plethora of inflationary models have been built in last decades and first experimental probes seem to appear in favor of the inflationary paradigm. We will focus here on one of them, the Higgs inflation, and show the combined constraint required for such a model at cosmological as well as gravitational scales, i.e. for compact objects. We will show that Higgs inflation model gives rise to particlelike solutions around compact objects, dubbed Higgs monopoles, characterized by the nonminimal coupling parameter as well as the mass and the compactness of the object. For large values of the nonminimal coupling constant and specific compactness, the amplitude of the Higgs field inside the matter distribution can be arbitrarily large.
Higgs inflation has received a remarkable attention in the last few years due to its simplicity and predictive power. The key point of this model is the nonminimal coupling to gravity in unitary gauge. As such, this theory is in fact a scalar-tensor modification of gravity that needs to be studied also below the energy scales of inflation. Motivated by this goal, we study in great analytical and numerical detail the static and spherically symmetric solutions of the equations of motion in the presence of standard baryonic matter, called "Higgs monopoles" and presented in 1305.2640. These partic…
Particlelike solutions of the Einstein-Dirac-Higgs equations: ground, excited, and many-fermion states
SUPA Physics and Astronomy, University of St Andrews（圣安德鲁斯大学）；Nottingham Centre of Gravity, University of Nottingham（诺丁汉大学）；School of Mathematical Sciences, University of Nottingham（诺丁汉大学）；Centre for Fluid and Complex Systems, Coventry University（考文垂大学）
The pure $R^2$ gravity is equivalent to Einstein gravity with cosmological constant and a massless scalar field and it further possesses the so-called restricted Weyl symmetry which is a symmetry larger than scale symmetry. To incorporate matter, we consider a restricted Weyl invariant action composed of pure $R^2$ gravity, SU(2) Yang-Mills fields and a non-minimally coupled massless Higgs field (a triplet of scalars). When the restricted Weyl symmetry is spontaneously broken, it is equivalent to an Einstein-Yang-Mills-Higgs (EYMH) action with a cosmological constant and a massive Higgs non-mi…
