Abstract
In this letter we show that an uncharged black hole moving superluminally in a transparent dielectric medium violates Hawking's area theorem. The violation can be overcome through the emission of radiation. Since modes cannot emerge from the black hole itself, this radiation must originate from a collective effect in the medium, in complete analogy with the Vavilov-Cherenkov effect. However, because the black hole is uncharged, the emission mechanism must be different. We discuss the physical origin of the effect and obtain a Newtonian estimation. Then we obtain the appropriate equations in the relativistic case and show that the field which is radiated away is a combination of gravitational and electromagnetic degrees of freedom. Possible astrophysical relevance for the detection of primordial black holes and binary systems is discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 1557-1564 |
| Number of pages | 8 |
| Journal | Modern Physics Letters A |
| Volume | 13 |
| Issue number | 19 |
| DOIs | |
| State | Published - 21 Jun 1998 |
| Externally published | Yes |
Bibliographical note
Funding Information:One of us (M.S.) is deeply indebted to J. D. Bekenstein for many enlightening discussions. We are thankful to S. Oliveira for careful reading of the manuscript. This work was supported by FAPESP and CNPq.
Funding
One of us (M.S.) is deeply indebted to J. D. Bekenstein for many enlightening discussions. We are thankful to S. Oliveira for careful reading of the manuscript. This work was supported by FAPESP and CNPq.
| Funders | Funder number |
|---|---|
| Fundação de Amparo à Pesquisa do Estado de São Paulo | |
| Conselho Nacional de Desenvolvimento Científico e Tecnológico |