Asynchronous Lightning Payments
Voltage provides a comprehensive overview of the utility and advancements in asynchronous lightning payments. 

As they highlight, there have been several innovative ideas in this space, many of which require the recipient to come back online before the payment can be completed. 

However, Voltage also points out some of the potential risks associated with these approaches, which include the need to trust the Lightning Service Provider. 

To address these concerns, technologies like BOLT12 and PTLCs could be leveraged to prevent the reuse of invoices, thereby enhancing the security and reliability of asynchronous lightning payment systems.

ASYNC PAYMENTS ON THE LIGHTNING NETWORK
https://voltage.cloud/blog/lightning-network-faq/how-async-payments-on-lightning-network-work/