Abstract
Waves in media can be made to propagate on an effectively curved spacetime. Such analogue spacetimes are curved Lorentzian manifolds which enable the study of some features of gravity in the laboratory. In this introductory chapter, we present the fundamental arguments supporting the science of analogue gravity, whose necessity we motivate by the idea to observe and better understand the Hawking effect in such systems.
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Notes
- 1.
Note that the real spacetime structure in any Earth-based laboratory is approximately Minkowskian.
- 2.
It is in fact in the process of articulating the latter paradigm that the former discovery was made.
- 3.
In the Hawking effect, quantum vacuum fluctuations in these different modes are what causes the emission, see Chap. 3.
- 4.
See 3.2.2 for details.
- 5.
See Appendix A for further comments on this.
- 6.
Such an equation as (1.12) can be used as the basis for a quantum mechanics capable of describing particle production and annihilation fully: the second quantised form of the theory. In this scheme, negative norm modes are associated with the creation operator of the field, whilst their positive norm counterparts are associated with the annihilation operator of the field.
- 7.
The white hole is the time-reversed black-hole-solution to the Einstein’s equations, see 2.1.2.
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Jacquet, M.J. (2018). Introduction. In: Negative Frequency at the Horizon. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-91071-0_1
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