Speaker
Description
This study examines the formation of dark matter as a result of Primordial Spacetime Cavitation, driven by Inflaton Field Perturbations. Our theoretical framework integrates early universe dynamics with quantum field theory to explain the emergence of subatomic voids within the spacetime fabric. These cavitated regions, resulting from perturbations in the inflaton field, persist as stable or metastable vacua after inflation, affecting large-scale structure formation, contributing to the formation of dark matter.
We derive the stress-energy tensor ( T_{\mu\nu}^{\text{cav}} ) for these cavitated regions, incorporate them into the Einstein field equations, and calculate the resulting gravitational effects. Quantum fluctuations during inflation, described by the Klein-Gordon equation, induce variations in the potential energy landscape, leading to distinct vacuum states in spacetime. This process modifies the power spectrum of density fluctuations, which we compute using the slow-roll approximation and inflationary potential.
[
T_{\mu\nu}^{\text{cav}} = \rho_{\text{cav}} c^2 u_\mu u_\nu + p_{\text{cav}} g_{\mu\nu}
]
where ( \rho_{\text{cav}} ) is the energy density, ( p_{\text{cav}} ) is the pressure within cavitated regions, and ( u^\mu ) is the four-velocity of the cavitated fluid element.
The energy density ( \rho_{\text{cav}} ) in these regions, derived from the Friedmann equation, aligns with observations of the primordial power spectrum of density fluctuations indicating consistency with cosmological observations on large scales. The power spectrum ( P(k) ) of density fluctuations from cavitated regions matches the nearly scale-invariant nature observed in the Cosmic Microwave Background (CMB) data, validating our theoretical model within current observational constraints.
Using parameters such as ( A_s \approx 2.2 \times 10^{-9} ), ( n_s \approx 0.96 ), ( \frac{d n_s}{d \ln k} \approx -0.03 ), and ( k_{\text{pivot}} = 0.05 \text{ Mpc}^{-1} ), our theoretical model predicts ( P(0.1) \approx 2.25 \times 10^{-9} ), aligning closely with observational constraints.
Details
Swapnil Singh, Student, B.M.S College of Engineering, Bangalore, India - 560019
| Internet talk | No |
|---|---|
| Is this an abstract from experimental collaboration? | No |
| Name of experiment and experimental site | N/A |
| Is the speaker for that presentation defined? | Yes |
