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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.04577 |
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Table of Contents:
- Inspired by interaction of gravitational waves and dark matters, we study the Bondi-Sachs formalism for Einstein massless scalar field with zero cosmological constant. We provide asymptotic expansions for the Bondi-Sachs metrics as well as the scalar fields and prove the peeling property. We also prove the positivity of the Bondi energy-momentum under condition $c=d=0$ at some retarded time $u_0$. This condition ensures that asymptotically null hypersurfaces near $u=u_0$ are asymptotically null initial data sets of order 2 and the positive energy theorem for null infinity can be applied.