Results of the summarizing process for the arXiv paper: 2206.04505v1

, , , , In 1968, Bardeen proposed the concept of a regular black hole spacetime. This idea was later revived by Hayward in 2006 with the construction of a new example of such geometry. Subsequently, Neves and Saa discovered a wider class of two-parameter spacetimes that encompassed both Bardeen and Hayward spacetimes as special cases. Building upon this foundation, the authors revisit and generalize the Hayward spacetime by applying the Damour-Solodukhin (DS) prescription. The DS prescription involves deforming the Schwarzschild spacetime metric parameters $g_{tt}$ and $g_{rr}$ to account for different mass values $M_1$ and $M_2$. By introducing mutations through differently valued metric parameters, a variety of spacetime geometries are generated, including singular black holes, wormholes, and regular black holes. The study delves into the geometric features and matter content of each spacetime in detail. Furthermore, scalar quasinormal modes corresponding to scalar wave propagation in these geometries are investigated. The analysis explores how the real and imaginary parts of the quasinormal modes vary based on the values and ranges of the metric parameters used to classify the geometries. Ultimately, it is argued that these results suggest the utility of this family of spacetimes as black hole mimickers. This research contributes to expanding our understanding of black hole spacetimes by exploring diverse configurations beyond traditional models like Schwarzschild or Kerr black holes. The findings offer insights into the rich diversity of possible gravitational phenomena that can arise from variations in mass distributions within black hole geometries.

• Bardeen proposed the concept of a regular black hole spacetime in 1968
• Hayward revived this idea in 2006 with a new example of such geometry
• Neves and Saa discovered a wider class of two-parameter spacetimes encompassing Bardeen and Hayward spacetimes
• Authors revisited and generalized the Hayward spacetime using the Damour-Solodukhin (DS) prescription
• DS prescription involves deforming Schwarzschild metric parameters to account for different mass values
• Mutations through differently valued metric parameters generate various spacetime geometries like singular black holes, wormholes, and regular black holes
• Study explores geometric features, matter content, and scalar quasinormal modes in detail
• Analysis investigates how real and imaginary parts of quasinormal modes vary based on metric parameter values
• Results suggest utility of these spacetimes as black hole mimickers beyond traditional models like Schwarzschild or Kerr black holes
• Research contributes to expanding understanding of black hole spacetimes by exploring diverse configurations from variations in mass distributions

Introduction

In 1968, Bardeen proposed the concept of a regular black hole spacetime. This idea was later revived by Hayward in 2006 with the construction of a new example of such geometry. Subsequently, Neves and Saa discovered a wider class of two-parameter spacetimes that encompassed both Bardeen and Hayward spacetimes as special cases. Building upon this foundation, the authors revisit and generalize the Hayward spacetime by applying the Damour-Solodukhin (DS) prescription.

The DS Prescription

The DS prescription involves deforming the Schwarzschild spacetime metric parameters $g_{tt}$ and $g_{rr}$ to account for different mass values $M_1$ and $M_2$. By introducing mutations through differently valued metric parameters, a variety of spacetime geometries are generated, including singular black holes, wormholes, and regular black holes.

Geometric Features and Matter Content

The study delves into the geometric features and matter content of each spacetime in detail. The analysis explores how these features vary based on the values and ranges of the metric parameters used to classify the geometries. For instance, for certain values of $M_1$ and $M_2$, it is found that there is no event horizon present in some configurations, while others exhibit an inner Cauchy horizon or multiple horizons.

Furthermore, matter content is also examined within these diverse configurations. It is observed that some geometries have exotic matter distributions while others do not require any exotic matter at all.

Scalar Quasinormal Modes

One key aspect explored in this research is scalar quasinormal modes corresponding to scalar wave propagation in these geometries. These modes represent oscillations that occur when perturbations are introduced into a system like a black hole or neutron star. The study investigates how the real and imaginary parts of these modes vary based on the values and ranges of the metric parameters used to classify the geometries.

Implications and Significance

The results of this research suggest that this family of spacetimes can serve as black hole mimickers, providing a diverse range of possible gravitational phenomena beyond traditional models like Schwarzschild or Kerr black holes. This expands our understanding of black hole spacetimes and offers insights into the rich diversity that can arise from variations in mass distributions within them.

Furthermore, these findings have implications for future studies in astrophysics and cosmology. By exploring different configurations, we may gain a better understanding of how matter behaves under extreme conditions such as those found near black holes. Additionally, this research could potentially lead to new methods for detecting or characterizing exotic matter distributions in astrophysical objects.

Conclusion

In conclusion, this research paper delves into a wider class of two-parameter spacetimes that encompass both Bardeen and Hayward spacetimes as special cases. By applying the DS prescription, a variety of spacetime geometries are generated with different mass distributions. The study examines their geometric features, matter content, and scalar quasinormal modes to provide insights into their behavior and potential applications as black hole mimickers. Overall, this work contributes to expanding our understanding of black hole spacetimes and has implications for future studies in astrophysics and cosmology.