# Generalised Hayward spacetimes: geometry, matter and scalar quasinormal modes

**Authors:** Poulami Dutta Roy, Sayan Kar  
**arXiv:** [2206.04505](https://arxiv.org/abs/2206.04505)  
**Date:** 2022-06-09  
**Summary page:** https://www.summarizepaper.com/en/paper/2206.04505v1/

## Key points

- 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

## Summary

, , , , 

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.