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(\Phi)=\frac{m^2 F^2}{\alpha} \left[ \left(1+\frac{|\Phi|^2}{F^2} \right)^{\alpha} -1 \right]
=m^2 |\Phi|^2 + \frac{m^2(\alpha - 1)}{2F^2} |\Phi|^4

(small field)

Observations

Theory

halo core density vs. core radius:

\rho \propto \frac{1}{R^{\beta}}
\beta \approx 1
\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

\rho/\rho_\text{FRW}
r
  • Evolution of spacetime and fluid

Results

r
\rho/\rho_\text{FRW}
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