Research Interests
Heling Deng
Tufts University
Numerical work on GR and cosmology
- Primordial black hole (PBH)
- Scalar field dark matter
1804.10059 with Alexander Vilenkin and Masaki Yamada (2018)
1710.02865 with Alexander Vilenkin (2017)
1612.03753 with Jaume Garriga and Alexander Vilenkin (2016)
1804.05921 with Mark Hertzberg and Mohammad Hossein Namjoo (2018)
PBH from domain wall or vacuum bubble
PBH from vacuum bubble
during inflation
after inflation
subcritical
supercritical
- Evolution of spacetime and fluid
- BH mass spectrum
- Observational constraints
Results
LIGO BH
SMBH
Significant part of dark matter
Ultra-light scalar field dark matter
V(Φ)=αm2F2[(1+F2∣Φ∣2)α−1]
V(\Phi)=\frac{m^2 F^2}{\alpha} \left[ \left(1+\frac{|\Phi|^2}{F^2} \right)^{\alpha} -1 \right]
=m2∣Φ∣2+2F2m2(α−1)∣Φ∣4
=m^2 |\Phi|^2 + \frac{m^2(\alpha - 1)}{2F^2} |\Phi|^4
(small field)
Observations
Theory
halo core density vs. core radius:
ρ∝Rβ1
\rho \propto \frac{1}{R^{\beta}}
β≈1
\beta \approx 1
β=−2,2,4,∞
\beta= -2,2,4,\infty
Future plans
- Numerical relativity and cosmology
- Data-oriented study (data analysis, machine learning)
reconstruct history
constrain theories
- Evolution of spacetime and fluid
Results
ρ/ρFRW
\rho/\rho_\text{FRW}
r
r
- Evolution of spacetime and fluid
Results
r
r
ρ/ρFRW
\rho/\rho_\text{FRW}
Research Interests Heling Deng Tufts University