Gravitational radiation in D-dimensional spacetimes
By V. Cardoso, Ó. J. Dias, J. Lemos. 2002
171 citations recorded by the source corpus.
Gravitational wave solutions to Einstein’s equations and their generation are examined in D-dimensional flat spacetimes. First the plane wave solutions are analyzed; then the wave generation is studied with the solution for the metric tensor being obtained with the help of retarded D-dimensional Green’s functions. Because of the difficulties in handling the wave tails in odd dimensions we concentrate our study on even dimensions. We compute the metric quantities in the wave zone in terms of the energy-momentum tensor at retarded time. Some special cases of interest are studied. First we study the slow motion approximation, where the D-dimensional quadrupole formula is deduced. Within the quadrupole approximation, we consider two cases of interest: a particle in circular orbit and a particle falling radially into a higher dimensional Schwarzschild black hole. Then we turn our attention to the gravitational radiation emitted during collisions lasting zero seconds, i.e., hard collisions. We compute the gravitational energy radiated during the collision of two point particles, in terms of a cutoff frequency. In the case in which at least one of the particles is a black hole, we argue that this cutoff frequency should be close to the lowest gravitational quasinormal frequency. In this context, we compute the scalar quasinormal frequencies of higher dimensional Schwarzschild black holes. Finally, as an interesting new application of this formalism, we compute the gravitational energy release during the quantum process of black hole pair creation. These results might be important in light of the recent proposal that there may exist extra dimensions in the Universe, one consequence of which may be black hole creation at the Large Hadron Collider at CERN.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c974d5052ed737c44d0ee974a9834a3d5ab54106
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Citations in the corpus
- Black Holes in Higher Dimensions (2008, background): “There are also peculiarities with wave propagation that depend on the parity of the number of dimensions [206, 24], but these are unlikely to modify in any essential way the Planckian spectrum of radiation.”
- Probing the theory of gravity with gravitational lensing of gravitational waves and galaxy surveys (2019, background): “(8) (Cardoso et al. 2003; Saltas et al. 2014; Nishizawa 2018) and Eq.”
- Asymptotic black hole quasinormal frequencies (2003, background): “where V (r) is known for scalar perturbations to be [22]”
- Improved analysis of black hole formation in high-energy particle collisions (2005, background): “It should be mentioned, however, that a recent calculation [31] based on an “instantaneous collision” approximation in linearized gravity predicts that gravitational wave emission becomes highly suppressed in higher dimensions (up to 0.”
- On the classification of asymptotic quasinormal frequencies for $d$-dimensional black holes and quantum gravity (2004, background): “This issue was addressed in [28], with the following result.”
- An Analytical computation of asymptotic Schwarzschild quasinormal frequencies (2002, background): “The recent paper [35] showed that it was possible to calculate quasinormal modes in higher dimension; their asymptotic behavior was finally calculated in a very recent paper [19] that is based on functional methods.”