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Detection of gravitational waves from black holes: Is there a window for alternative theories?

Published 15 Feb 2016 in gr-qc, astro-ph.HE, and hep-th | (1602.04738v3)

Abstract: Recently LIGO and VIRGO collaborations reported about observation of gravitational-wave signal corresponding to the inspiral and merger of two black holes, resulting into formation of the final black hole. It was shown that the observations are consistent with the Einstein theory of gravity with high accuracy limited mainly by the statistical error. Angular momentum and mass of the final black hole were determined with rather large allowance of tens of percents. Here we shall show that this indeterminacy in the range of the black-hole parameters allows for some not negligible deformations of the Kerr spacetime leading to the same frequencies of black-hole ringing. This means that at the current precision of the experiment there remain some possibilities for alternative theories of gravity.

Citations (167)

Summary

Detection of Gravitational Waves from Black Holes: Is There a Window for Alternative Theories?

The paper "Detection of gravitational waves from black holes: Is there a window for alternative theories?" by Roman Konoplya and Alexander Zhidenko examines the capacity of current gravitational wave observations, specifically those performed by LIGO and VIRGO, to either confirm or refute the exclusive validity of the Kerr solution within the framework of General Relativity (GR) for describing black holes. The authors address whether alternative theories of gravity remain plausible contenders under the experimental constraints provided by black hole merger observations and the associated gravitational wave data.

Summary of Key Insights

  1. Observational Context: The detection of gravitational waves from black hole mergers offers a novel testing ground for GR, especially in regimes of strong gravitational fields. Konoplya and Zhidenko highlight that while the observations display excellent concordance with GR, particularly with the Kerr description of black holes, the intrinsic error margins, notably in determining black hole mass and angular momentum, suggest room for deviation.

  2. Indeterminacy in Black Hole Parameters: The researchers underscore a significant point of indeterminacy in the parameters governing black hole models, suggesting that certain non-Kerr black hole solutions from alternative gravity theories could produce gravitational wave frequencies indistinguishable from those of Kerr black holes within the current experimental accuracy.

  3. Theoretical Framework: The paper employs the notion of quasinormal modes to evaluate under what circumstances variances from Kerr spacetime might occur without altering the observed gravitational wave imprint. Key to this exploration is the understanding that gravitational wave signatures at high orders of post-Newtonian approximations might mask subtle deviations at the horizon level.

  4. Examples and Illustrations: Two illustrative approaches are presented:

    • A deformation of the Kerr geometry, preserving its asymptotic properties but allowing for different near-horizon behavior, suggesting that deviations on the order of tens of percent may be feasible without contradicting current gravitational observations.
    • Comparisons between the Kerr and Kerr-Sen black holes demonstrate that quasinormal mode spectra can appear remarkably similar across different metrics, even with statistically significant deviations in black hole parameters.
  5. Implications for Alternative Theories and Observations: The authors propose that resolving these indeterminacies is crucial for advancing our understanding of black holes and the validity of GR versus alternative theories. Future, more precise observations, potentially coupled with electromagnetic observations and an expanded range of detected modes, may tighten these parameter constraints, eventually ruling out or substantiating alternative theories.

Concluding Remarks and Future Directions

The discourse propounded by Konoplya and Zhidenko pivots on the possibility that the present window of experimental uncertainty accommodates theoretical diversity in black hole physics beyond the conventional Kerr solution of General Relativity. Their proposal calls for enhanced experimental resolution in gravitational wave astronomy and diversified observational methods to rigorously probe the gravitational field regimes around black holes. As the precision of gravitational wave measurements improves, the ability to discriminate between Kerr black holes and potential alternative models may lead to groundbreaking insights into the nature of gravity itself. This study serves as a reminder of the complex tapestry of possibilities science must weave through to distinguish between established theories and viable alternatives.

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