For a general sense of quiet:
* Quietly
* Silently
* Hush-hush (informal)
To emphasize a specific aspect of silence:
* Soundlessly (emphasizes lack of sound)
* Stealthily (suggests movement without noise)
* Secretly (implies something is being done in silence)
* Discreetly (indicates a deliberate effort to be quiet)
* Subtly (suggests a subtle and quiet presence)
To describe a negative aspect of silence:
* Grimly (suggests a silence filled with tension)
* Ominously (implies a foreboding silence)
* Eerily (evokes a sense of unsettling silence)
The best choice will depend on the specific situation and the nuance you want to convey.