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Novel ‘‘no-scalar-hair’’ theorem for black holes
Abstract
We formulate a new ``no-hair'' theorem for black holes in general relativity which rules out a multicomponent scalar field dressing of any asymptotically flat, static, spherically symmetric black hole. The field is assumed to be minimally coupled to gravity, and to bear a non-negative energy density as seen by any observer, but its field Lagrangian need not be quadratic in the field derivatives. The proof centers on energy-momentum conservation and the Einstein equations. One kind of field ruled out is the Higgs field with a double (or multiple) well potential. The theorem is also proved for scalar-tensor gravity.
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Citations
Cited by
Asymptotically flat black holes with scalar hair: A review
Herdeiro, C. A. R., & Radu, E. (2015) · International Journal of Modern Physics D · doi:10.1142/s0218271815420146 · Cited by 729
Dark Energy Versus Modified Gravity
Joyce, A., Lombriser, L., & Schmidt, F. (2016) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev-nucl-102115-044553 · Cited by 463
Metadata
- Authors
- Bekenstein, J. D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1995-06-15
- Volume
- 51
- Issue
- 12
- Pages
- R6608-R6611
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W1975566581
- Cited by
- 428
- References
- 0
- FWCI
- 4.43
- Type
- journal article
- Language
- en
- Open access
- closed
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- Bekenstein, J. D. (1995). Novel ‘‘no-scalar-hair’’ theorem for black holes. Physical Review D. https://doi.org/10.1103/physrevd.51.r6608
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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