TY - JOUR
T1 - The gravitational Vavilov-Cherenkov effect
AU - Saa, Alberto
AU - Schiffer, Marcelo
N1 - 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.
PY - 1998/6/21
Y1 - 1998/6/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0347721712&partnerID=8YFLogxK
U2 - 10.1142/S0217732398001637
DO - 10.1142/S0217732398001637
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AN - SCOPUS:0347721712
SN - 0217-7323
VL - 13
SP - 1557
EP - 1564
JO - Modern Physics Letters A
JF - Modern Physics Letters A
IS - 19
ER -