{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"586742bfeca8398c1227f0c0e34e7f696d3089f6163b4d5b7bad17c664a7f975","created":"2026-10-03T07:18:04Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"54a6b6880e2b3d190885620ba24aa8faba11617b06813b38e78d6996e70ad225","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"identification","assisted_by":[],"external_id":"grav.evaporation-backreaction.self-consistent-4d","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"Most evaporation calculations assume the black hole shrinks slowly while keeping its shape. A full four-dimensional calculation in which the radiation reshapes spacetime as it goes has not been done.","posed_since":"","precise":"Solve the semiclassical Einstein equations with the renormalized $\\langle T_{ab}\\rangle$ of $N_{f}$ free massless fields (all angular momenta, not only s-waves) for a black hole formed by collapse, from formation to $M \\sim m_{P}$, with $N_{f}$ large to suppress fluctuations. Determine the evolution of the apparent and event horizons, whether an inner apparent horizon forms and where the trapped region closes, and the deviation of $\\mathrm{d}M/\\mathrm{d}t$ from the adiabatic rate. An answer is a numerical or analytic spacetime with controlled errors.","problem_ref":null,"references":"","settled_by":"A convergent numerical solution of the 4D semiclassical equations through most of the evaporation with the full renormalized stress tensor.","status_note":"Fully back-reacted solutions exist in 2D dilaton models such as CGHS (Ashtekar, Pretorius, Ramazanoglu 2011); the 4D problem with the complete stress tensor is open as of 2026.","title":"Self-consistent evaporation of a 4D black hole including back-reaction","topic_ref":"c6f0f7e9427ae2192894c5f52b801031bd05930fb85200c49b24b33d76d27ba6"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"99f637fba235d3029fb0b521ec60309ea9061defa9941da26def4eaa36c16d11","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"05ff696ab6ce6f37e231b9d00018d309d5d40c4c0ab30abb7567f1c0892ec3b8","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"U004V82C1V2bo8EinI-IcHqcv3UDbznAI7RMhFhLuI2ZVm69bDAqirH4i0m8VHw9i24ILF23CMxofFdmHKGZDQ"},"schema":"pubphys.envelope/1"},"record_hash":"99f637fba235d3029fb0b521ec60309ea9061defa9941da26def4eaa36c16d11","leaf_index":1480}