Self-Similar Collapse of Scalar Field with Plane Symmetry

Plane symmetric self-similar solutions to Einstein's four-dimensional theory of gravity are studied and all such solutions are given analytically in closed form. The local and global properties of these solutions are investigated and it is shown that some of the solutions can be interpreted as representing gravitational collapse of the scalar field. During the collapse, trapped surfaces are never developed. As a result, no black hole is formed. Although the collapse always ends with spacetime singularities, it is found that these singularities are spacelike and not naked.Comment: latex, two figure

Analysis of Synergistic Research on Digital Governance and Green Development under the Two-Carbon Target

Green development and digital governance are closely related under the concept of “two carbons.” In order to achieve the harmonious coexistence of humans and nature, the synergistic development of digital governance and green development is necessary to accomplish the goal of “two carbons.” As the global economic structure undergoes a new round of industrial change and technological revolution, digital governance emerges as a dynamic force in the fields of science, technology, and economic development. It plays a crucial role in promoting green development in China. Therefore, this paper conducts further research on the synergistic development of digital governance and green development with the goal of achieving “two carbons.” It systematically analyzes the relevant literature using the Cite Space big data literature analysis tool. The paper identifies and quantifies the research hotspots and keywords in the field of research through citation pattern and co-word analysis. Additionally, it reveals the knowledge evolution of the discipline by analyzing the time-series data of the citation relationship of the literature. We analyze the accumulation of literature results and changes in research trends to comprehend the developmental history and evolution of knowledge in the discipline. Additionally, we examine the research lineage and hotspots of scholars both domestically and internationally and explore the synergistic relationship between digital governance and green development in achieving the two-carbon goal