Considering (unstable) Riemann space-time whose tangent space possesses NLSUSY structure specified by fermionic coordinate ψαi (i=1…N) and the ordinary Minkowski coordinates xa we can find the unified vierbein waμ and perform the ordinary geometric argument of the general relativity principle on such Riemann space-time and obtain straightforwardly new Einstein-Hilbert(EH)-type action LNLSGR...
Linear-perturbation theory has proven to be an extremely powerful tool to compare inflationary models with observational data. Recently, the newcoming high-precision observations call for predictions beyond linear perturbations. Such effects are known to be relevant for example in the production of primordial black holes or scalar-induced gravitational waves. The separate-universe approach...
We analyze the entropy behavior of the de Sitter spacetime during the inflationary phase. A cosmological horizon in de Sitter spacetime that constrains the causally accessible region of an observer exhibits thermal properties analogous to the event horizon of a black hole. According to the principles of holography, the entropy within a causally connected region for an observer is limited by...
Primordial Black Holes (PBHs) may be produced by gravitational collapse in regions with a large amplitude of density contrasts in the early Universe. They may provide the seeds for galaxy formation, account for a population of the LIGO-Virgo events, and the candidates of cold dark matter. The main purpose of our study is to develop a more accurate estimation for PBH abundance. We will address...
